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Finding the Fourth Proportional to 169,438.62, 254,084.09 and 57,097.90

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Solution

The fourth proportional to 169,438.62, 254,084.09 and 57,097.90 is: 85,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,438.62 : 254,084.09 = 57,097.90 : x
  2. Step 2: Convert to fraction form
    169,438.62/254,084.09 = 57,097.90/x
  3. Step 3: Cross multiply
    169,438.62x = 254,084.09 × 57,097.90
  4. Step 4: Simplify right side
    169,438.62x = 14,507,667,962.41
  5. Step 5: Solve for x
    x = 14,507,667,962.41/169,438.62
  6. Step 6: Final answer
    x = 85,621.97

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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.