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Finding the Fourth Proportional to 153,842.60, 230,795.10 and 87,314.60

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Solution

The fourth proportional to 153,842.60, 230,795.10 and 87,314.60 is: 130,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.60 : 230,795.10 = 87,314.60 : x
  2. Step 2: Convert to fraction form
    153,842.60/230,795.10 = 87,314.60/x
  3. Step 3: Cross multiply
    153,842.60x = 230,795.10 × 87,314.60
  4. Step 4: Simplify right side
    153,842.60x = 20,151,781,838.46
  5. Step 5: Solve for x
    x = 20,151,781,838.46/153,842.60
  6. Step 6: Final answer
    x = 130,989.61

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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.