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Finding the Fourth Proportional to 171,984.40, 257,757.90 and 153,176.20

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Solution

The fourth proportional to 171,984.40, 257,757.90 and 153,176.20 is: 229,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984.40 : 257,757.90 = 153,176.20 : x
  2. Step 2: Convert to fraction form
    171,984.40/257,757.90 = 153,176.20/x
  3. Step 3: Cross multiply
    171,984.40x = 257,757.90 × 153,176.20
  4. Step 4: Simplify right side
    171,984.40x = 39,482,375,641.98
  5. Step 5: Solve for x
    x = 39,482,375,641.98/171,984.40
  6. Step 6: Final answer
    x = 229,569.52

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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.