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Finding the Fourth Proportional to 223,285.65, 334,805.21 and 116,402.91

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Solution

The fourth proportional to 223,285.65, 334,805.21 and 116,402.91 is: 174,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,285.65 : 334,805.21 = 116,402.91 : x
  2. Step 2: Convert to fraction form
    223,285.65/334,805.21 = 116,402.91/x
  3. Step 3: Cross multiply
    223,285.65x = 334,805.21 × 116,402.91
  4. Step 4: Simplify right side
    223,285.65x = 38,972,300,727.16
  5. Step 5: Solve for x
    x = 38,972,300,727.16/223,285.65
  6. Step 6: Final answer
    x = 174,540.10

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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.