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Finding the Fourth Proportional to 242,354.50, 334,475.13 and 141,836.74

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Solution

The fourth proportional to 242,354.50, 334,475.13 and 141,836.74 is: 195,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,354.50 : 334,475.13 = 141,836.74 : x
  2. Step 2: Convert to fraction form
    242,354.50/334,475.13 = 141,836.74/x
  3. Step 3: Cross multiply
    242,354.50x = 334,475.13 × 141,836.74
  4. Step 4: Simplify right side
    242,354.50x = 47,440,862,050.28
  5. Step 5: Solve for x
    x = 47,440,862,050.28/242,354.50
  6. Step 6: Final answer
    x = 195,749.87

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Why These Related Problems?

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