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Finding the Fourth Proportional to 224,324.85, 335,696.87 and 140,124.66

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Solution

The fourth proportional to 224,324.85, 335,696.87 and 140,124.66 is: 209,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,324.85 : 335,696.87 = 140,124.66 : x
  2. Step 2: Convert to fraction form
    224,324.85/335,696.87 = 140,124.66/x
  3. Step 3: Cross multiply
    224,324.85x = 335,696.87 × 140,124.66
  4. Step 4: Simplify right side
    224,324.85x = 47,039,409,071.19
  5. Step 5: Solve for x
    x = 47,039,409,071.19/224,324.85
  6. Step 6: Final answer
    x = 209,693.26

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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.