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Finding the Fourth Proportional to 101,675.16, 152,451.16 and 45,504.80

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Solution

The fourth proportional to 101,675.16, 152,451.16 and 45,504.80 is: 68,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,675.16 : 152,451.16 = 45,504.80 : x
  2. Step 2: Convert to fraction form
    101,675.16/152,451.16 = 45,504.80/x
  3. Step 3: Cross multiply
    101,675.16x = 152,451.16 × 45,504.80
  4. Step 4: Simplify right side
    101,675.16x = 6,937,259,545.57
  5. Step 5: Solve for x
    x = 6,937,259,545.57/101,675.16
  6. Step 6: Final answer
    x = 68,229.64

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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.