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Finding the Fourth Proportional to 182,034, 251,204.40 and 101,468.16

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Solution

The fourth proportional to 182,034, 251,204.40 and 101,468.16 is: 140,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,034 : 251,204.40 = 101,468.16 : x
  2. Step 2: Convert to fraction form
    182,034/251,204.40 = 101,468.16/x
  3. Step 3: Cross multiply
    182,034x = 251,204.40 × 101,468.16
  4. Step 4: Simplify right side
    182,034x = 25,489,248,251.90
  5. Step 5: Solve for x
    x = 25,489,248,251.90/182,034
  6. Step 6: Final answer
    x = 140,024.66

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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.