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Finding the Fourth Proportional to 282,532.96, 423,838.80 and 149,422.64

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Solution

The fourth proportional to 282,532.96, 423,838.80 and 149,422.64 is: 224,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,532.96 : 423,838.80 = 149,422.64 : x
  2. Step 2: Convert to fraction form
    282,532.96/423,838.80 = 149,422.64/x
  3. Step 3: Cross multiply
    282,532.96x = 423,838.80 × 149,422.64
  4. Step 4: Simplify right side
    282,532.96x = 63,331,112,430.43
  5. Step 5: Solve for x
    x = 63,331,112,430.43/282,532.96
  6. Step 6: Final answer
    x = 224,154.78

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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.