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Finding the Fourth Proportional to 98,914.40, 148,342.80 and 54,562.40

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Solution

The fourth proportional to 98,914.40, 148,342.80 and 54,562.40 is: 81,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.40 : 148,342.80 = 54,562.40 : x
  2. Step 2: Convert to fraction form
    98,914.40/148,342.80 = 54,562.40/x
  3. Step 3: Cross multiply
    98,914.40x = 148,342.80 × 54,562.40
  4. Step 4: Simplify right side
    98,914.40x = 8,093,939,190.72
  5. Step 5: Solve for x
    x = 8,093,939,190.72/98,914.40
  6. Step 6: Final answer
    x = 81,827.71

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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.