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Finding the Fourth Proportional to 159,321.60, 238,982.40 and 134,827.20

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Solution

The fourth proportional to 159,321.60, 238,982.40 and 134,827.20 is: 202,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,321.60 : 238,982.40 = 134,827.20 : x
  2. Step 2: Convert to fraction form
    159,321.60/238,982.40 = 134,827.20/x
  3. Step 3: Cross multiply
    159,321.60x = 238,982.40 × 134,827.20
  4. Step 4: Simplify right side
    159,321.60x = 32,221,327,841.28
  5. Step 5: Solve for x
    x = 32,221,327,841.28/159,321.60
  6. Step 6: Final answer
    x = 202,240.80

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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.