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Finding the Fourth Proportional to 176,805.20, 265,294.20 and 83,294.80

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Solution

The fourth proportional to 176,805.20, 265,294.20 and 83,294.80 is: 124,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,805.20 : 265,294.20 = 83,294.80 : x
  2. Step 2: Convert to fraction form
    176,805.20/265,294.20 = 83,294.80/x
  3. Step 3: Cross multiply
    176,805.20x = 265,294.20 × 83,294.80
  4. Step 4: Simplify right side
    176,805.20x = 22,097,627,330.16
  5. Step 5: Solve for x
    x = 22,097,627,330.16/176,805.20
  6. Step 6: Final answer
    x = 124,982.90

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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.