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Finding the Fourth Proportional to 192,013.13, 264,978.14 and 107,130.20

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Solution

The fourth proportional to 192,013.13, 264,978.14 and 107,130.20 is: 147,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,013.13 : 264,978.14 = 107,130.20 : x
  2. Step 2: Convert to fraction form
    192,013.13/264,978.14 = 107,130.20/x
  3. Step 3: Cross multiply
    192,013.13x = 264,978.14 × 107,130.20
  4. Step 4: Simplify right side
    192,013.13x = 28,387,159,273.29
  5. Step 5: Solve for x
    x = 28,387,159,273.29/192,013.13
  6. Step 6: Final answer
    x = 147,839.68

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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.