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Finding the Fourth Proportional to 138,332.49, 190,496.84 and 120,174.92

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Solution

The fourth proportional to 138,332.49, 190,496.84 and 120,174.92 is: 165,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,332.49 : 190,496.84 = 120,174.92 : x
  2. Step 2: Convert to fraction form
    138,332.49/190,496.84 = 120,174.92/x
  3. Step 3: Cross multiply
    138,332.49x = 190,496.84 × 120,174.92
  4. Step 4: Simplify right side
    138,332.49x = 22,892,941,906.38
  5. Step 5: Solve for x
    x = 22,892,941,906.38/138,332.49
  6. Step 6: Final answer
    x = 165,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.