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Finding the Fourth Proportional to 98,846.93, 148,368.80 and 54,494.57

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Solution

The fourth proportional to 98,846.93, 148,368.80 and 54,494.57 is: 81,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846.93 : 148,368.80 = 54,494.57 : x
  2. Step 2: Convert to fraction form
    98,846.93/148,368.80 = 54,494.57/x
  3. Step 3: Cross multiply
    98,846.93x = 148,368.80 × 54,494.57
  4. Step 4: Simplify right side
    98,846.93x = 8,085,293,351.81
  5. Step 5: Solve for x
    x = 8,085,293,351.81/98,846.93
  6. Step 6: Final answer
    x = 81,796.10

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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.