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Finding the Fourth Proportional to 235,122.64, 352,697.30 and 75,212.62

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Solution

The fourth proportional to 235,122.64, 352,697.30 and 75,212.62 is: 112,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,122.64 : 352,697.30 = 75,212.62 : x
  2. Step 2: Convert to fraction form
    235,122.64/352,697.30 = 75,212.62/x
  3. Step 3: Cross multiply
    235,122.64x = 352,697.30 × 75,212.62
  4. Step 4: Simplify right side
    235,122.64x = 26,527,287,999.93
  5. Step 5: Solve for x
    x = 26,527,287,999.93/235,122.64
  6. Step 6: Final answer
    x = 112,823.20

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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.