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Finding the Fourth Proportional to 120,507.94, 166,281.42 and 75,178.72

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Solution

The fourth proportional to 120,507.94, 166,281.42 and 75,178.72 is: 103,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,507.94 : 166,281.42 = 75,178.72 : x
  2. Step 2: Convert to fraction form
    120,507.94/166,281.42 = 75,178.72/x
  3. Step 3: Cross multiply
    120,507.94x = 166,281.42 × 75,178.72
  4. Step 4: Simplify right side
    120,507.94x = 12,500,824,315.38
  5. Step 5: Solve for x
    x = 12,500,824,315.38/120,507.94
  6. Step 6: Final answer
    x = 103,734.45

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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.