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Finding the Fourth Proportional to 177,328.60, 266,069.70 and 83,786.20

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Solution

The fourth proportional to 177,328.60, 266,069.70 and 83,786.20 is: 125,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,328.60 : 266,069.70 = 83,786.20 : x
  2. Step 2: Convert to fraction form
    177,328.60/266,069.70 = 83,786.20/x
  3. Step 3: Cross multiply
    177,328.60x = 266,069.70 × 83,786.20
  4. Step 4: Simplify right side
    177,328.60x = 22,292,969,098.14
  5. Step 5: Solve for x
    x = 22,292,969,098.14/177,328.60
  6. Step 6: Final answer
    x = 125,715.59

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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.