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Finding the Fourth Proportional to 119,280.56, 178,946.84 and 36,181.04

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Solution

The fourth proportional to 119,280.56, 178,946.84 and 36,181.04 is: 54,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280.56 : 178,946.84 = 36,181.04 : x
  2. Step 2: Convert to fraction form
    119,280.56/178,946.84 = 36,181.04/x
  3. Step 3: Cross multiply
    119,280.56x = 178,946.84 × 36,181.04
  4. Step 4: Simplify right side
    119,280.56x = 6,474,482,775.91
  5. Step 5: Solve for x
    x = 6,474,482,775.91/119,280.56
  6. Step 6: Final answer
    x = 54,279.45

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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.