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Finding the Fourth Proportional to 138,646.42, 191,332.07 and 74,984.20

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Solution

The fourth proportional to 138,646.42, 191,332.07 and 74,984.20 is: 103,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.42 : 191,332.07 = 74,984.20 : x
  2. Step 2: Convert to fraction form
    138,646.42/191,332.07 = 74,984.20/x
  3. Step 3: Cross multiply
    138,646.42x = 191,332.07 × 74,984.20
  4. Step 4: Simplify right side
    138,646.42x = 14,346,882,203.29
  5. Step 5: Solve for x
    x = 14,346,882,203.29/138,646.42
  6. Step 6: Final answer
    x = 103,478.20

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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.