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Finding the Fourth Proportional to 141,098.40, 194,722.88 and 77,435.68

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Solution

The fourth proportional to 141,098.40, 194,722.88 and 77,435.68 is: 106,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,098.40 : 194,722.88 = 77,435.68 : x
  2. Step 2: Convert to fraction form
    141,098.40/194,722.88 = 77,435.68/x
  3. Step 3: Cross multiply
    141,098.40x = 194,722.88 × 77,435.68
  4. Step 4: Simplify right side
    141,098.40x = 15,078,498,624.36
  5. Step 5: Solve for x
    x = 15,078,498,624.36/141,098.40
  6. Step 6: Final answer
    x = 106,865.13

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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.