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Finding the Fourth Proportional to 220,107.10, 330,160.65 and 194,737.90

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Solution

The fourth proportional to 220,107.10, 330,160.65 and 194,737.90 is: 292,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,107.10 : 330,160.65 = 194,737.90 : x
  2. Step 2: Convert to fraction form
    220,107.10/330,160.65 = 194,737.90/x
  3. Step 3: Cross multiply
    220,107.10x = 330,160.65 × 194,737.90
  4. Step 4: Simplify right side
    220,107.10x = 64,294,791,643.64
  5. Step 5: Solve for x
    x = 64,294,791,643.64/220,107.10
  6. Step 6: Final answer
    x = 292,106.85

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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.