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Finding the Fourth Proportional to 125,655.16, 188,546.52 and 83,564.52

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Solution

The fourth proportional to 125,655.16, 188,546.52 and 83,564.52 is: 125,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,655.16 : 188,546.52 = 83,564.52 : x
  2. Step 2: Convert to fraction form
    125,655.16/188,546.52 = 83,564.52/x
  3. Step 3: Cross multiply
    125,655.16x = 188,546.52 × 83,564.52
  4. Step 4: Simplify right side
    125,655.16x = 15,755,799,441.47
  5. Step 5: Solve for x
    x = 15,755,799,441.47/125,655.16
  6. Step 6: Final answer
    x = 125,389.20

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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.