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Finding the Fourth Proportional to 502,242.96, 753,348.63 and 123,164.85

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Solution

The fourth proportional to 502,242.96, 753,348.63 and 123,164.85 is: 184,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,242.96 : 753,348.63 = 123,164.85 : x
  2. Step 2: Convert to fraction form
    502,242.96/753,348.63 = 123,164.85/x
  3. Step 3: Cross multiply
    502,242.96x = 753,348.63 × 123,164.85
  4. Step 4: Simplify right side
    502,242.96x = 92,786,071,011.66
  5. Step 5: Solve for x
    x = 92,786,071,011.66/502,242.96
  6. Step 6: Final answer
    x = 184,743.40

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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.