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Finding the Fourth Proportional to 252,146.16, 378,277.44 and 83,653.92

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Solution

The fourth proportional to 252,146.16, 378,277.44 and 83,653.92 is: 125,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,146.16 : 378,277.44 = 83,653.92 : x
  2. Step 2: Convert to fraction form
    252,146.16/378,277.44 = 83,653.92/x
  3. Step 3: Cross multiply
    252,146.16x = 378,277.44 × 83,653.92
  4. Step 4: Simplify right side
    252,146.16x = 31,644,390,703.56
  5. Step 5: Solve for x
    x = 31,644,390,703.56/252,146.16
  6. Step 6: Final answer
    x = 125,500.19

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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.