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Finding the Fourth Proportional to 316,876.96, 475,421.32 and 103,654.56

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Solution

The fourth proportional to 316,876.96, 475,421.32 and 103,654.56 is: 155,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,876.96 : 475,421.32 = 103,654.56 : x
  2. Step 2: Convert to fraction form
    316,876.96/475,421.32 = 103,654.56/x
  3. Step 3: Cross multiply
    316,876.96x = 475,421.32 × 103,654.56
  4. Step 4: Simplify right side
    316,876.96x = 49,279,587,739.22
  5. Step 5: Solve for x
    x = 49,279,587,739.22/316,876.96
  6. Step 6: Final answer
    x = 155,516.47

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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.