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Finding the Fourth Proportional to 156,770.94, 235,154.10 and 38,443.17

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Solution

The fourth proportional to 156,770.94, 235,154.10 and 38,443.17 is: 57,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770.94 : 235,154.10 = 38,443.17 : x
  2. Step 2: Convert to fraction form
    156,770.94/235,154.10 = 38,443.17/x
  3. Step 3: Cross multiply
    156,770.94x = 235,154.10 × 38,443.17
  4. Step 4: Simplify right side
    156,770.94x = 9,040,069,042.50
  5. Step 5: Solve for x
    x = 9,040,069,042.50/156,770.94
  6. Step 6: Final answer
    x = 57,664.19

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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.