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Finding the Fourth Proportional to 152,057.54, 228,020.31 and 58,497.62

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Solution

The fourth proportional to 152,057.54, 228,020.31 and 58,497.62 is: 87,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057.54 : 228,020.31 = 58,497.62 : x
  2. Step 2: Convert to fraction form
    152,057.54/228,020.31 = 58,497.62/x
  3. Step 3: Cross multiply
    152,057.54x = 228,020.31 × 58,497.62
  4. Step 4: Simplify right side
    152,057.54x = 13,338,645,446.66
  5. Step 5: Solve for x
    x = 13,338,645,446.66/152,057.54
  6. Step 6: Final answer
    x = 87,721.04

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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.