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Finding the Fourth Proportional to 153,311, 229,967.54 and 58,515.62

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Solution

The fourth proportional to 153,311, 229,967.54 and 58,515.62 is: 87,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311 : 229,967.54 = 58,515.62 : x
  2. Step 2: Convert to fraction form
    153,311/229,967.54 = 58,515.62/x
  3. Step 3: Cross multiply
    153,311x = 229,967.54 × 58,515.62
  4. Step 4: Simplify right side
    153,311x = 13,456,693,182.97
  5. Step 5: Solve for x
    x = 13,456,693,182.97/153,311
  6. Step 6: Final answer
    x = 87,773.83

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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.