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Finding the Fourth Proportional to 155,229.89, 232,918.34 and 65,292.29

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Solution

The fourth proportional to 155,229.89, 232,918.34 and 65,292.29 is: 97,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229.89 : 232,918.34 = 65,292.29 : x
  2. Step 2: Convert to fraction form
    155,229.89/232,918.34 = 65,292.29/x
  3. Step 3: Cross multiply
    155,229.89x = 232,918.34 × 65,292.29
  4. Step 4: Simplify right side
    155,229.89x = 15,207,771,801.60
  5. Step 5: Solve for x
    x = 15,207,771,801.60/155,229.89
  6. Step 6: Final answer
    x = 97,969.35

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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.