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Finding the Fourth Proportional to 119,188.48, 178,769.76 and 36,088.96

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Solution

The fourth proportional to 119,188.48, 178,769.76 and 36,088.96 is: 54,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188.48 : 178,769.76 = 36,088.96 : x
  2. Step 2: Convert to fraction form
    119,188.48/178,769.76 = 36,088.96/x
  3. Step 3: Cross multiply
    119,188.48x = 178,769.76 × 36,088.96
  4. Step 4: Simplify right side
    119,188.48x = 6,451,614,717.85
  5. Step 5: Solve for x
    x = 6,451,614,717.85/119,188.48
  6. Step 6: Final answer
    x = 54,129.52

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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.