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Finding the Fourth Proportional to 153,781.20, 230,671.80 and 41,461.20

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Solution

The fourth proportional to 153,781.20, 230,671.80 and 41,461.20 is: 62,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,781.20 : 230,671.80 = 41,461.20 : x
  2. Step 2: Convert to fraction form
    153,781.20/230,671.80 = 41,461.20/x
  3. Step 3: Cross multiply
    153,781.20x = 230,671.80 × 41,461.20
  4. Step 4: Simplify right side
    153,781.20x = 9,563,929,634.16
  5. Step 5: Solve for x
    x = 9,563,929,634.16/153,781.20
  6. Step 6: Final answer
    x = 62,191.80

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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.