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Finding the Fourth Proportional to 253,258.56, 349,492.50 and 140,081.22

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Solution

The fourth proportional to 253,258.56, 349,492.50 and 140,081.22 is: 193,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,258.56 : 349,492.50 = 140,081.22 : x
  2. Step 2: Convert to fraction form
    253,258.56/349,492.50 = 140,081.22/x
  3. Step 3: Cross multiply
    253,258.56x = 349,492.50 × 140,081.22
  4. Step 4: Simplify right side
    253,258.56x = 48,957,335,780.85
  5. Step 5: Solve for x
    x = 48,957,335,780.85/253,258.56
  6. Step 6: Final answer
    x = 193,309.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.