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Finding the Fourth Proportional to 138,332.34, 190,842.12 and 102,120.48

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Solution

The fourth proportional to 138,332.34, 190,842.12 and 102,120.48 is: 140,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,332.34 : 190,842.12 = 102,120.48 : x
  2. Step 2: Convert to fraction form
    138,332.34/190,842.12 = 102,120.48/x
  3. Step 3: Cross multiply
    138,332.34x = 190,842.12 × 102,120.48
  4. Step 4: Simplify right side
    138,332.34x = 19,488,888,898.62
  5. Step 5: Solve for x
    x = 19,488,888,898.62/138,332.34
  6. Step 6: Final answer
    x = 140,884.55

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