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Finding the Fourth Proportional to 234,420.24, 323,434.29 and 147,214.74

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Solution

The fourth proportional to 234,420.24, 323,434.29 and 147,214.74 is: 203,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,420.24 : 323,434.29 = 147,214.74 : x
  2. Step 2: Convert to fraction form
    234,420.24/323,434.29 = 147,214.74/x
  3. Step 3: Cross multiply
    234,420.24x = 323,434.29 × 147,214.74
  4. Step 4: Simplify right side
    234,420.24x = 47,614,294,909.43
  5. Step 5: Solve for x
    x = 47,614,294,909.43/234,420.24
  6. Step 6: Final answer
    x = 203,115.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.