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Finding the Fourth Proportional to 132,582.72, 182,751.73 and 89,548.74

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Solution

The fourth proportional to 132,582.72, 182,751.73 and 89,548.74 is: 123,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,582.72 : 182,751.73 = 89,548.74 : x
  2. Step 2: Convert to fraction form
    132,582.72/182,751.73 = 89,548.74/x
  3. Step 3: Cross multiply
    132,582.72x = 182,751.73 × 89,548.74
  4. Step 4: Simplify right side
    132,582.72x = 16,365,186,930.45
  5. Step 5: Solve for x
    x = 16,365,186,930.45/132,582.72
  6. Step 6: Final answer
    x = 123,433.78

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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.