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Finding the Fourth Proportional to 223,382.88, 308,055.60 and 146,766.24

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Solution

The fourth proportional to 223,382.88, 308,055.60 and 146,766.24 is: 202,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,382.88 : 308,055.60 = 146,766.24 : x
  2. Step 2: Convert to fraction form
    223,382.88/308,055.60 = 146,766.24/x
  3. Step 3: Cross multiply
    223,382.88x = 308,055.60 × 146,766.24
  4. Step 4: Simplify right side
    223,382.88x = 45,212,162,122.94
  5. Step 5: Solve for x
    x = 45,212,162,122.94/223,382.88
  6. Step 6: Final answer
    x = 202,397.61

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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.