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Finding the Fourth Proportional to 138,399.86, 190,952.30 and 77,949.38

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Solution

The fourth proportional to 138,399.86, 190,952.30 and 77,949.38 is: 107,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,399.86 : 190,952.30 = 77,949.38 : x
  2. Step 2: Convert to fraction form
    138,399.86/190,952.30 = 77,949.38/x
  3. Step 3: Cross multiply
    138,399.86x = 190,952.30 × 77,949.38
  4. Step 4: Simplify right side
    138,399.86x = 14,884,613,394.57
  5. Step 5: Solve for x
    x = 14,884,613,394.57/138,399.86
  6. Step 6: Final answer
    x = 107,547.89

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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.