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Finding the Fourth Proportional to 282,029.50, 423,066.12 and 95,041

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Solution

The fourth proportional to 282,029.50, 423,066.12 and 95,041 is: 142,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,029.50 : 423,066.12 = 95,041 : x
  2. Step 2: Convert to fraction form
    282,029.50/423,066.12 = 95,041/x
  3. Step 3: Cross multiply
    282,029.50x = 423,066.12 × 95,041
  4. Step 4: Simplify right side
    282,029.50x = 40,208,627,110.92
  5. Step 5: Solve for x
    x = 40,208,627,110.92/282,029.50
  6. Step 6: Final answer
    x = 142,568.87

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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.