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Finding the Fourth Proportional to 119,182.80, 178,813.04 and 56,845.20

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Solution

The fourth proportional to 119,182.80, 178,813.04 and 56,845.20 is: 85,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,182.80 : 178,813.04 = 56,845.20 : x
  2. Step 2: Convert to fraction form
    119,182.80/178,813.04 = 56,845.20/x
  3. Step 3: Cross multiply
    119,182.80x = 178,813.04 × 56,845.20
  4. Step 4: Simplify right side
    119,182.80x = 10,164,663,021.41
  5. Step 5: Solve for x
    x = 10,164,663,021.41/119,182.80
  6. Step 6: Final answer
    x = 85,286.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.