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Finding the Fourth Proportional to 235,778.06, 353,453.74 and 85,983.31

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Solution

The fourth proportional to 235,778.06, 353,453.74 and 85,983.31 is: 128,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778.06 : 353,453.74 = 85,983.31 : x
  2. Step 2: Convert to fraction form
    235,778.06/353,453.74 = 85,983.31/x
  3. Step 3: Cross multiply
    235,778.06x = 353,453.74 × 85,983.31
  4. Step 4: Simplify right side
    235,778.06x = 30,391,122,497.08
  5. Step 5: Solve for x
    x = 30,391,122,497.08/235,778.06
  6. Step 6: Final answer
    x = 128,897.16

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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.