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Finding the Fourth Proportional to 140,701.38, 194,167.98 and 77,039.16

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Solution

The fourth proportional to 140,701.38, 194,167.98 and 77,039.16 is: 106,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,701.38 : 194,167.98 = 77,039.16 : x
  2. Step 2: Convert to fraction form
    140,701.38/194,167.98 = 77,039.16/x
  3. Step 3: Cross multiply
    140,701.38x = 194,167.98 × 77,039.16
  4. Step 4: Simplify right side
    140,701.38x = 14,958,538,078.10
  5. Step 5: Solve for x
    x = 14,958,538,078.10/140,701.38
  6. Step 6: Final answer
    x = 106,314.08

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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.