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Finding the Fourth Proportional to 269,170.40, 403,257.45 and 156,904.40

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Solution

The fourth proportional to 269,170.40, 403,257.45 and 156,904.40 is: 235,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,170.40 : 403,257.45 = 156,904.40 : x
  2. Step 2: Convert to fraction form
    269,170.40/403,257.45 = 156,904.40/x
  3. Step 3: Cross multiply
    269,170.40x = 403,257.45 × 156,904.40
  4. Step 4: Simplify right side
    269,170.40x = 63,272,868,237.78
  5. Step 5: Solve for x
    x = 63,272,868,237.78/269,170.40
  6. Step 6: Final answer
    x = 235,066.22

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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.