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Finding the Fourth Proportional to 240,592, 332,016.96 and 140,056.96

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Solution

The fourth proportional to 240,592, 332,016.96 and 140,056.96 is: 193,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,592 : 332,016.96 = 140,056.96 : x
  2. Step 2: Convert to fraction form
    240,592/332,016.96 = 140,056.96/x
  3. Step 3: Cross multiply
    240,592x = 332,016.96 × 140,056.96
  4. Step 4: Simplify right side
    240,592x = 46,501,286,086.04
  5. Step 5: Solve for x
    x = 46,501,286,086.04/240,592
  6. Step 6: Final answer
    x = 193,278.60

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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.