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Finding the Fourth Proportional to 157,801.92, 236,729.28 and 52,653.12

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Solution

The fourth proportional to 157,801.92, 236,729.28 and 52,653.12 is: 78,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,801.92 : 236,729.28 = 52,653.12 : x
  2. Step 2: Convert to fraction form
    157,801.92/236,729.28 = 52,653.12/x
  3. Step 3: Cross multiply
    157,801.92x = 236,729.28 × 52,653.12
  4. Step 4: Simplify right side
    157,801.92x = 12,464,535,187.35
  5. Step 5: Solve for x
    x = 12,464,535,187.35/157,801.92
  6. Step 6: Final answer
    x = 78,988.49

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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.