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Finding the Fourth Proportional to 98,894,772.80, 148,405,144.80 and 57,954,132.80

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Solution

The fourth proportional to 98,894,772.80, 148,405,144.80 and 57,954,132.80 is: 86,968,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894,772.80 : 148,405,144.80 = 57,954,132.80 : x
  2. Step 2: Convert to fraction form
    98,894,772.80/148,405,144.80 = 57,954,132.80/x
  3. Step 3: Cross multiply
    98,894,772.80x = 148,405,144.80 × 57,954,132.80
  4. Step 4: Simplify right side
    98,894,772.80x = 8,600,691,469,942,430
  5. Step 5: Solve for x
    x = 8,600,691,469,942,430/98,894,772.80
  6. Step 6: Final answer
    x = 86,968,109.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.