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Finding the Fourth Proportional to 141,077.97, 194,689.98 and 77,421.69

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Solution

The fourth proportional to 141,077.97, 194,689.98 and 77,421.69 is: 106,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,077.97 : 194,689.98 = 77,421.69 : x
  2. Step 2: Convert to fraction form
    141,077.97/194,689.98 = 77,421.69/x
  3. Step 3: Cross multiply
    141,077.97x = 194,689.98 × 77,421.69
  4. Step 4: Simplify right side
    141,077.97x = 15,073,227,277.67
  5. Step 5: Solve for x
    x = 15,073,227,277.67/141,077.97
  6. Step 6: Final answer
    x = 106,843.24

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1.5x scale

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.