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Finding the Fourth Proportional to 224,535.15, 309,751.11 and 151,963.47

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Solution

The fourth proportional to 224,535.15, 309,751.11 and 151,963.47 is: 209,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,535.15 : 309,751.11 = 151,963.47 : x
  2. Step 2: Convert to fraction form
    224,535.15/309,751.11 = 151,963.47/x
  3. Step 3: Cross multiply
    224,535.15x = 309,751.11 × 151,963.47
  4. Step 4: Simplify right side
    224,535.15x = 47,070,853,511.95
  5. Step 5: Solve for x
    x = 47,070,853,511.95/224,535.15
  6. Step 6: Final answer
    x = 209,636.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.