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Finding the Fourth Proportional to 141,661, 195,488.31 and 77,999.14

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Solution

The fourth proportional to 141,661, 195,488.31 and 77,999.14 is: 107,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,661 : 195,488.31 = 77,999.14 : x
  2. Step 2: Convert to fraction form
    141,661/195,488.31 = 77,999.14/x
  3. Step 3: Cross multiply
    141,661x = 195,488.31 × 77,999.14
  4. Step 4: Simplify right side
    141,661x = 15,247,920,060.05
  5. Step 5: Solve for x
    x = 15,247,920,060.05/141,661
  6. Step 6: Final answer
    x = 107,636.68

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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.