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Finding the Fourth Proportional to 177,466.40, 266,068.30 and 83,862.80

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Solution

The fourth proportional to 177,466.40, 266,068.30 and 83,862.80 is: 125,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466.40 : 266,068.30 = 83,862.80 : x
  2. Step 2: Convert to fraction form
    177,466.40/266,068.30 = 83,862.80/x
  3. Step 3: Cross multiply
    177,466.40x = 266,068.30 × 83,862.80
  4. Step 4: Simplify right side
    177,466.40x = 22,313,232,629.24
  5. Step 5: Solve for x
    x = 22,313,232,629.24/177,466.40
  6. Step 6: Final answer
    x = 125,732.15

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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.