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Finding the Fourth Proportional to 235,143.75, 324,591.38 and 163,565.31

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Solution

The fourth proportional to 235,143.75, 324,591.38 and 163,565.31 is: 225,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,143.75 : 324,591.38 = 163,565.31 : x
  2. Step 2: Convert to fraction form
    235,143.75/324,591.38 = 163,565.31/x
  3. Step 3: Cross multiply
    235,143.75x = 324,591.38 × 163,565.31
  4. Step 4: Simplify right side
    235,143.75x = 53,091,888,875.20
  5. Step 5: Solve for x
    x = 53,091,888,875.20/235,143.75
  6. Step 6: Final answer
    x = 225,784.82

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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.