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Finding the Fourth Proportional to 205,432.92, 308,247.12 and 142,350.12

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Solution

The fourth proportional to 205,432.92, 308,247.12 and 142,350.12 is: 213,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,432.92 : 308,247.12 = 142,350.12 : x
  2. Step 2: Convert to fraction form
    205,432.92/308,247.12 = 142,350.12/x
  3. Step 3: Cross multiply
    205,432.92x = 308,247.12 × 142,350.12
  4. Step 4: Simplify right side
    205,432.92x = 43,879,014,521.65
  5. Step 5: Solve for x
    x = 43,879,014,521.65/205,432.92
  6. Step 6: Final answer
    x = 213,592.91

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1.5x scale

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.