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Finding the Fourth Proportional to 141,077.92, 194,686.98 and 77,416.78

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Solution

The fourth proportional to 141,077.92, 194,686.98 and 77,416.78 is: 106,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,077.92 : 194,686.98 = 77,416.78 : x
  2. Step 2: Convert to fraction form
    141,077.92/194,686.98 = 77,416.78/x
  3. Step 3: Cross multiply
    141,077.92x = 194,686.98 × 77,416.78
  4. Step 4: Simplify right side
    141,077.92x = 15,072,039,099.52
  5. Step 5: Solve for x
    x = 15,072,039,099.52/141,077.92
  6. Step 6: Final answer
    x = 106,834.85

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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.