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Finding the Fourth Proportional to 110,156.38, 152,015.34 and 64,834.02

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Solution

The fourth proportional to 110,156.38, 152,015.34 and 64,834.02 is: 89,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,156.38 : 152,015.34 = 64,834.02 : x
  2. Step 2: Convert to fraction form
    110,156.38/152,015.34 = 64,834.02/x
  3. Step 3: Cross multiply
    110,156.38x = 152,015.34 × 64,834.02
  4. Step 4: Simplify right side
    110,156.38x = 9,855,765,593.87
  5. Step 5: Solve for x
    x = 9,855,765,593.87/110,156.38
  6. Step 6: Final answer
    x = 89,470.67

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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.