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Finding the Fourth Proportional to 633,120, 949,669.20 and 159,801.92

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Solution

The fourth proportional to 633,120, 949,669.20 and 159,801.92 is: 239,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,120 : 949,669.20 = 159,801.92 : x
  2. Step 2: Convert to fraction form
    633,120/949,669.20 = 159,801.92/x
  3. Step 3: Cross multiply
    633,120x = 949,669.20 × 159,801.92
  4. Step 4: Simplify right side
    633,120x = 151,758,961,524.86
  5. Step 5: Solve for x
    x = 151,758,961,524.86/633,120
  6. Step 6: Final answer
    x = 239,700.15

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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.