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Finding the Fourth Proportional to 318,523.76, 477,854.76 and 96,902

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Solution

The fourth proportional to 318,523.76, 477,854.76 and 96,902 is: 145,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,523.76 : 477,854.76 = 96,902 : x
  2. Step 2: Convert to fraction form
    318,523.76/477,854.76 = 96,902/x
  3. Step 3: Cross multiply
    318,523.76x = 477,854.76 × 96,902
  4. Step 4: Simplify right side
    318,523.76x = 46,305,081,953.52
  5. Step 5: Solve for x
    x = 46,305,081,953.52/318,523.76
  6. Step 6: Final answer
    x = 145,374.03

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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.