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Finding the Fourth Proportional to 282,142.65, 423,238.58 and 92,546.16

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Solution

The fourth proportional to 282,142.65, 423,238.58 and 92,546.16 is: 138,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,142.65 : 423,238.58 = 92,546.16 : x
  2. Step 2: Convert to fraction form
    282,142.65/423,238.58 = 92,546.16/x
  3. Step 3: Cross multiply
    282,142.65x = 423,238.58 × 92,546.16
  4. Step 4: Simplify right side
    282,142.65x = 39,169,105,342.85
  5. Step 5: Solve for x
    x = 39,169,105,342.85/282,142.65
  6. Step 6: Final answer
    x = 138,827.31

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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.