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Finding the Fourth Proportional to 224,798.85, 337,364.61 and 106,470.48

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Solution

The fourth proportional to 224,798.85, 337,364.61 and 106,470.48 is: 159,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,798.85 : 337,364.61 = 106,470.48 : x
  2. Step 2: Convert to fraction form
    224,798.85/337,364.61 = 106,470.48/x
  3. Step 3: Cross multiply
    224,798.85x = 337,364.61 × 106,470.48
  4. Step 4: Simplify right side
    224,798.85x = 35,919,371,961.71
  5. Step 5: Solve for x
    x = 35,919,371,961.71/224,798.85
  6. Step 6: Final answer
    x = 159,784.50

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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.