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Finding the Fourth Proportional to 132,283.91, 182,523.29 and 78,586.98

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Solution

The fourth proportional to 132,283.91, 182,523.29 and 78,586.98 is: 108,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,283.91 : 182,523.29 = 78,586.98 : x
  2. Step 2: Convert to fraction form
    132,283.91/182,523.29 = 78,586.98/x
  3. Step 3: Cross multiply
    132,283.91x = 182,523.29 × 78,586.98
  4. Step 4: Simplify right side
    132,283.91x = 14,343,953,747.83
  5. Step 5: Solve for x
    x = 14,343,953,747.83/132,283.91
  6. Step 6: Final answer
    x = 108,433.10

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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.