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Finding the Fourth Proportional to 171,002.10, 256,503.15 and 113,921.40

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Solution

The fourth proportional to 171,002.10, 256,503.15 and 113,921.40 is: 170,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,002.10 : 256,503.15 = 113,921.40 : x
  2. Step 2: Convert to fraction form
    171,002.10/256,503.15 = 113,921.40/x
  3. Step 3: Cross multiply
    171,002.10x = 256,503.15 × 113,921.40
  4. Step 4: Simplify right side
    171,002.10x = 29,221,197,952.41
  5. Step 5: Solve for x
    x = 29,221,197,952.41/171,002.10
  6. Step 6: Final answer
    x = 170,882.10

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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.