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Finding the Fourth Proportional to 105,116.80, 157,675.20 and 42,755.20

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Solution

The fourth proportional to 105,116.80, 157,675.20 and 42,755.20 is: 64,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,116.80 : 157,675.20 = 42,755.20 : x
  2. Step 2: Convert to fraction form
    105,116.80/157,675.20 = 42,755.20/x
  3. Step 3: Cross multiply
    105,116.80x = 157,675.20 × 42,755.20
  4. Step 4: Simplify right side
    105,116.80x = 6,741,434,711.04
  5. Step 5: Solve for x
    x = 6,741,434,711.04/105,116.80
  6. Step 6: Final answer
    x = 64,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.