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Finding the Fourth Proportional to 223,472.20, 334,770.90 and 134,461.30

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Solution

The fourth proportional to 223,472.20, 334,770.90 and 134,461.30 is: 201,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,472.20 : 334,770.90 = 134,461.30 : x
  2. Step 2: Convert to fraction form
    223,472.20/334,770.90 = 134,461.30/x
  3. Step 3: Cross multiply
    223,472.20x = 334,770.90 × 134,461.30
  4. Step 4: Simplify right side
    223,472.20x = 45,013,730,416.17
  5. Step 5: Solve for x
    x = 45,013,730,416.17/223,472.20
  6. Step 6: Final answer
    x = 201,428.77

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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.