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Finding the Fourth Proportional to 138,268.81, 190,814.65 and 77,841.75

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Solution

The fourth proportional to 138,268.81, 190,814.65 and 77,841.75 is: 107,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,268.81 : 190,814.65 = 77,841.75 : x
  2. Step 2: Convert to fraction form
    138,268.81/190,814.65 = 77,841.75/x
  3. Step 3: Cross multiply
    138,268.81x = 190,814.65 × 77,841.75
  4. Step 4: Simplify right side
    138,268.81x = 14,853,345,663.38
  5. Step 5: Solve for x
    x = 14,853,345,663.38/138,268.81
  6. Step 6: Final answer
    x = 107,423.69

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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.