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Finding the Fourth Proportional to 172,098.60, 257,637.60 and 127,921.20

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Solution

The fourth proportional to 172,098.60, 257,637.60 and 127,921.20 is: 191,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,098.60 : 257,637.60 = 127,921.20 : x
  2. Step 2: Convert to fraction form
    172,098.60/257,637.60 = 127,921.20/x
  3. Step 3: Cross multiply
    172,098.60x = 257,637.60 × 127,921.20
  4. Step 4: Simplify right side
    172,098.60x = 32,957,310,957.12
  5. Step 5: Solve for x
    x = 32,957,310,957.12/172,098.60
  6. Step 6: Final answer
    x = 191,502.49

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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.