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Finding the Fourth Proportional to 229,745.92, 317,002.86 and 134,234.16

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Solution

The fourth proportional to 229,745.92, 317,002.86 and 134,234.16 is: 185,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,745.92 : 317,002.86 = 134,234.16 : x
  2. Step 2: Convert to fraction form
    229,745.92/317,002.86 = 134,234.16/x
  3. Step 3: Cross multiply
    229,745.92x = 317,002.86 × 134,234.16
  4. Step 4: Simplify right side
    229,745.92x = 42,552,612,629.70
  5. Step 5: Solve for x
    x = 42,552,612,629.70/229,745.92
  6. Step 6: Final answer
    x = 185,215.97

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1.5x scale

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.