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Finding the Fourth Proportional to 223,294.64, 334,818.70 and 116,411.92

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Solution

The fourth proportional to 223,294.64, 334,818.70 and 116,411.92 is: 174,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,294.64 : 334,818.70 = 116,411.92 : x
  2. Step 2: Convert to fraction form
    223,294.64/334,818.70 = 116,411.92/x
  3. Step 3: Cross multiply
    223,294.64x = 334,818.70 × 116,411.92
  4. Step 4: Simplify right side
    223,294.64x = 38,976,887,718.90
  5. Step 5: Solve for x
    x = 38,976,887,718.90/223,294.64
  6. Step 6: Final answer
    x = 174,553.62

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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.