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Finding the Fourth Proportional to 119,295.59, 178,943.04 and 30,549.15

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Solution

The fourth proportional to 119,295.59, 178,943.04 and 30,549.15 is: 45,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.59 : 178,943.04 = 30,549.15 : x
  2. Step 2: Convert to fraction form
    119,295.59/178,943.04 = 30,549.15/x
  3. Step 3: Cross multiply
    119,295.59x = 178,943.04 × 30,549.15
  4. Step 4: Simplify right side
    119,295.59x = 5,466,557,770.42
  5. Step 5: Solve for x
    x = 5,466,557,770.42/119,295.59
  6. Step 6: Final answer
    x = 45,823.64

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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.