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Finding the Fourth Proportional to 282,047.04, 423,110.16 and 82,382.08

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Solution

The fourth proportional to 282,047.04, 423,110.16 and 82,382.08 is: 123,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,047.04 : 423,110.16 = 82,382.08 : x
  2. Step 2: Convert to fraction form
    282,047.04/423,110.16 = 82,382.08/x
  3. Step 3: Cross multiply
    282,047.04x = 423,110.16 × 82,382.08
  4. Step 4: Simplify right side
    282,047.04x = 34,856,695,049.93
  5. Step 5: Solve for x
    x = 34,856,695,049.93/282,047.04
  6. Step 6: Final answer
    x = 123,584.69

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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.