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Finding the Fourth Proportional to 176,760.64, 243,935.17 and 100,282.96

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Solution

The fourth proportional to 176,760.64, 243,935.17 and 100,282.96 is: 138,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,760.64 : 243,935.17 = 100,282.96 : x
  2. Step 2: Convert to fraction form
    176,760.64/243,935.17 = 100,282.96/x
  3. Step 3: Cross multiply
    176,760.64x = 243,935.17 × 100,282.96
  4. Step 4: Simplify right side
    176,760.64x = 24,462,539,676.03
  5. Step 5: Solve for x
    x = 24,462,539,676.03/176,760.64
  6. Step 6: Final answer
    x = 138,393.59

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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.