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Finding the Fourth Proportional to 268,818.42, 370,966.56 and 147,957.12

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Solution

The fourth proportional to 268,818.42, 370,966.56 and 147,957.12 is: 204,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,818.42 : 370,966.56 = 147,957.12 : x
  2. Step 2: Convert to fraction form
    268,818.42/370,966.56 = 147,957.12/x
  3. Step 3: Cross multiply
    268,818.42x = 370,966.56 × 147,957.12
  4. Step 4: Simplify right side
    268,818.42x = 54,887,143,833.91
  5. Step 5: Solve for x
    x = 54,887,143,833.91/268,818.42
  6. Step 6: Final answer
    x = 204,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.