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Finding the Fourth Proportional to 132,036.91, 182,206 and 78,289.77

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Solution

The fourth proportional to 132,036.91, 182,206 and 78,289.77 is: 108,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,036.91 : 182,206 = 78,289.77 : x
  2. Step 2: Convert to fraction form
    132,036.91/182,206 = 78,289.77/x
  3. Step 3: Cross multiply
    132,036.91x = 182,206 × 78,289.77
  4. Step 4: Simplify right side
    132,036.91x = 14,264,865,832.62
  5. Step 5: Solve for x
    x = 14,264,865,832.62/132,036.91
  6. Step 6: Final answer
    x = 108,036.96

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