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Finding the Fourth Proportional to 180,717.16, 271,077.92 and 85,957.44

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Solution

The fourth proportional to 180,717.16, 271,077.92 and 85,957.44 is: 128,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,717.16 : 271,077.92 = 85,957.44 : x
  2. Step 2: Convert to fraction form
    180,717.16/271,077.92 = 85,957.44/x
  3. Step 3: Cross multiply
    180,717.16x = 271,077.92 × 85,957.44
  4. Step 4: Simplify right side
    180,717.16x = 23,301,164,043.72
  5. Step 5: Solve for x
    x = 23,301,164,043.72/180,717.16
  6. Step 6: Final answer
    x = 128,937.20

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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.