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Finding the Fourth Proportional to 109,968, 151,756.65 and 59,667

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Solution

The fourth proportional to 109,968, 151,756.65 and 59,667 is: 82,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,968 : 151,756.65 = 59,667 : x
  2. Step 2: Convert to fraction form
    109,968/151,756.65 = 59,667/x
  3. Step 3: Cross multiply
    109,968x = 151,756.65 × 59,667
  4. Step 4: Simplify right side
    109,968x = 9,054,864,035.55
  5. Step 5: Solve for x
    x = 9,054,864,035.55/109,968
  6. Step 6: Final answer
    x = 82,340.90

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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.