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Finding the Fourth Proportional to 170,983.40, 256,167.90 and 146,407.40

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Solution

The fourth proportional to 170,983.40, 256,167.90 and 146,407.40 is: 219,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,983.40 : 256,167.90 = 146,407.40 : x
  2. Step 2: Convert to fraction form
    170,983.40/256,167.90 = 146,407.40/x
  3. Step 3: Cross multiply
    170,983.40x = 256,167.90 × 146,407.40
  4. Step 4: Simplify right side
    170,983.40x = 37,504,876,202.46
  5. Step 5: Solve for x
    x = 37,504,876,202.46/170,983.40
  6. Step 6: Final answer
    x = 219,348.05

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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.