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Finding the Fourth Proportional to 224,423.32, 336,397.74 and 97,952.68

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Solution

The fourth proportional to 224,423.32, 336,397.74 and 97,952.68 is: 146,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,423.32 : 336,397.74 = 97,952.68 : x
  2. Step 2: Convert to fraction form
    224,423.32/336,397.74 = 97,952.68/x
  3. Step 3: Cross multiply
    224,423.32x = 336,397.74 × 97,952.68
  4. Step 4: Simplify right side
    224,423.32x = 32,951,060,178.94
  5. Step 5: Solve for x
    x = 32,951,060,178.94/224,423.32
  6. Step 6: Final answer
    x = 146,825.47

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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.