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Finding the Fourth Proportional to 132,583.92, 182,924.56 and 75,213.76

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Solution

The fourth proportional to 132,583.92, 182,924.56 and 75,213.76 is: 103,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,583.92 : 182,924.56 = 75,213.76 : x
  2. Step 2: Convert to fraction form
    132,583.92/182,924.56 = 75,213.76/x
  3. Step 3: Cross multiply
    132,583.92x = 182,924.56 × 75,213.76
  4. Step 4: Simplify right side
    132,583.92x = 13,758,443,953.95
  5. Step 5: Solve for x
    x = 13,758,443,953.95/132,583.92
  6. Step 6: Final answer
    x = 103,771.59

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1.5x scale

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.