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Finding the Fourth Proportional to 282,039.76, 423,061.08 and 95,052.88

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Solution

The fourth proportional to 282,039.76, 423,061.08 and 95,052.88 is: 142,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,039.76 : 423,061.08 = 95,052.88 : x
  2. Step 2: Convert to fraction form
    282,039.76/423,061.08 = 95,052.88/x
  3. Step 3: Cross multiply
    282,039.76x = 423,061.08 × 95,052.88
  4. Step 4: Simplify right side
    282,039.76x = 40,213,174,069.91
  5. Step 5: Solve for x
    x = 40,213,174,069.91/282,039.76
  6. Step 6: Final answer
    x = 142,579.81

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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.