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Finding the Fourth Proportional to 227,624.46, 341,349.21 and 157,290.54

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Solution

The fourth proportional to 227,624.46, 341,349.21 and 157,290.54 is: 235,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,624.46 : 341,349.21 = 157,290.54 : x
  2. Step 2: Convert to fraction form
    227,624.46/341,349.21 = 157,290.54/x
  3. Step 3: Cross multiply
    227,624.46x = 341,349.21 × 157,290.54
  4. Step 4: Simplify right side
    227,624.46x = 53,691,001,569.47
  5. Step 5: Solve for x
    x = 53,691,001,569.47/227,624.46
  6. Step 6: Final answer
    x = 235,875.36

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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.