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Finding the Fourth Proportional to 282,585.65, 423,861.31 and 100,225.49

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Solution

The fourth proportional to 282,585.65, 423,861.31 and 100,225.49 is: 150,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,585.65 : 423,861.31 = 100,225.49 : x
  2. Step 2: Convert to fraction form
    282,585.65/423,861.31 = 100,225.49/x
  3. Step 3: Cross multiply
    282,585.65x = 423,861.31 × 100,225.49
  4. Step 4: Simplify right side
    282,585.65x = 42,481,706,301.86
  5. Step 5: Solve for x
    x = 42,481,706,301.86/282,585.65
  6. Step 6: Final answer
    x = 150,332.14

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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.