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Finding the Fourth Proportional to 252,151.20, 378,271.52 and 83,681.60

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Solution

The fourth proportional to 252,151.20, 378,271.52 and 83,681.60 is: 125,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,151.20 : 378,271.52 = 83,681.60 : x
  2. Step 2: Convert to fraction form
    252,151.20/378,271.52 = 83,681.60/x
  3. Step 3: Cross multiply
    252,151.20x = 378,271.52 × 83,681.60
  4. Step 4: Simplify right side
    252,151.20x = 31,654,366,028.03
  5. Step 5: Solve for x
    x = 31,654,366,028.03/252,151.20
  6. Step 6: Final answer
    x = 125,537.24

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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.