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Finding the Fourth Proportional to 282,144.65, 423,128.08 and 92,560.84

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Solution

The fourth proportional to 282,144.65, 423,128.08 and 92,560.84 is: 138,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,144.65 : 423,128.08 = 92,560.84 : x
  2. Step 2: Convert to fraction form
    282,144.65/423,128.08 = 92,560.84/x
  3. Step 3: Cross multiply
    282,144.65x = 423,128.08 × 92,560.84
  4. Step 4: Simplify right side
    282,144.65x = 39,165,091,429.71
  5. Step 5: Solve for x
    x = 39,165,091,429.71/282,144.65
  6. Step 6: Final answer
    x = 138,812.10

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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.