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Finding the Fourth Proportional to 141,160.59, 194,802.44 and 77,498.91

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Solution

The fourth proportional to 141,160.59, 194,802.44 and 77,498.91 is: 106,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,160.59 : 194,802.44 = 77,498.91 : x
  2. Step 2: Convert to fraction form
    141,160.59/194,802.44 = 77,498.91/x
  3. Step 3: Cross multiply
    141,160.59x = 194,802.44 × 77,498.91
  4. Step 4: Simplify right side
    141,160.59x = 15,096,976,377.85
  5. Step 5: Solve for x
    x = 15,096,976,377.85/141,160.59
  6. Step 6: Final answer
    x = 106,948.95

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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.