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Finding the Fourth Proportional to 270,687.92, 406,070.76 and 83,714

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Solution

The fourth proportional to 270,687.92, 406,070.76 and 83,714 is: 125,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,687.92 : 406,070.76 = 83,714 : x
  2. Step 2: Convert to fraction form
    270,687.92/406,070.76 = 83,714/x
  3. Step 3: Cross multiply
    270,687.92x = 406,070.76 × 83,714
  4. Step 4: Simplify right side
    270,687.92x = 33,993,807,602.64
  5. Step 5: Solve for x
    x = 33,993,807,602.64/270,687.92
  6. Step 6: Final answer
    x = 125,583.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.