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Finding the Fourth Proportional to 354,847.33, 532,278.47 and 127,157.78

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Solution

The fourth proportional to 354,847.33, 532,278.47 and 127,157.78 is: 190,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,847.33 : 532,278.47 = 127,157.78 : x
  2. Step 2: Convert to fraction form
    354,847.33/532,278.47 = 127,157.78/x
  3. Step 3: Cross multiply
    354,847.33x = 532,278.47 × 127,157.78
  4. Step 4: Simplify right side
    354,847.33x = 67,683,350,235.59
  5. Step 5: Solve for x
    x = 67,683,350,235.59/354,847.33
  6. Step 6: Final answer
    x = 190,739.35

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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.