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Finding the Fourth Proportional to 272,652.80, 409,036.80 and 83,097.60

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Solution

The fourth proportional to 272,652.80, 409,036.80 and 83,097.60 is: 124,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,652.80 : 409,036.80 = 83,097.60 : x
  2. Step 2: Convert to fraction form
    272,652.80/409,036.80 = 83,097.60/x
  3. Step 3: Cross multiply
    272,652.80x = 409,036.80 × 83,097.60
  4. Step 4: Simplify right side
    272,652.80x = 33,989,976,391.68
  5. Step 5: Solve for x
    x = 33,989,976,391.68/272,652.80
  6. Step 6: Final answer
    x = 124,663.96

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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.