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Finding the Fourth Proportional to 144,778.32, 217,114.08 and 49,984.26

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Solution

The fourth proportional to 144,778.32, 217,114.08 and 49,984.26 is: 74,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,778.32 : 217,114.08 = 49,984.26 : x
  2. Step 2: Convert to fraction form
    144,778.32/217,114.08 = 49,984.26/x
  3. Step 3: Cross multiply
    144,778.32x = 217,114.08 × 49,984.26
  4. Step 4: Simplify right side
    144,778.32x = 10,852,286,624.38
  5. Step 5: Solve for x
    x = 10,852,286,624.38/144,778.32
  6. Step 6: Final answer
    x = 74,957.95

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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.