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Finding the Fourth Proportional to 106,748.82, 160,151.04 and 40,189.50

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Solution

The fourth proportional to 106,748.82, 160,151.04 and 40,189.50 is: 60,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748.82 : 160,151.04 = 40,189.50 : x
  2. Step 2: Convert to fraction form
    106,748.82/160,151.04 = 40,189.50/x
  3. Step 3: Cross multiply
    106,748.82x = 160,151.04 × 40,189.50
  4. Step 4: Simplify right side
    106,748.82x = 6,436,390,222.08
  5. Step 5: Solve for x
    x = 6,436,390,222.08/106,748.82
  6. Step 6: Final answer
    x = 60,294.72

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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.