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Finding the Fourth Proportional to 155,461.60, 233,019.60 and 85,391.20

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Solution

The fourth proportional to 155,461.60, 233,019.60 and 85,391.20 is: 127,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,461.60 : 233,019.60 = 85,391.20 : x
  2. Step 2: Convert to fraction form
    155,461.60/233,019.60 = 85,391.20/x
  3. Step 3: Cross multiply
    155,461.60x = 233,019.60 × 85,391.20
  4. Step 4: Simplify right side
    155,461.60x = 19,897,823,267.52
  5. Step 5: Solve for x
    x = 19,897,823,267.52/155,461.60
  6. Step 6: Final answer
    x = 127,991.89

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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.