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Finding the Fourth Proportional to 155,908.20, 233,931.15 and 75,901.80

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Solution

The fourth proportional to 155,908.20, 233,931.15 and 75,901.80 is: 113,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,908.20 : 233,931.15 = 75,901.80 : x
  2. Step 2: Convert to fraction form
    155,908.20/233,931.15 = 75,901.80/x
  3. Step 3: Cross multiply
    155,908.20x = 233,931.15 × 75,901.80
  4. Step 4: Simplify right side
    155,908.20x = 17,755,795,361.07
  5. Step 5: Solve for x
    x = 17,755,795,361.07/155,908.20
  6. Step 6: Final answer
    x = 113,886.22

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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.