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Finding the Fourth Proportional to 224,296.85, 309,354.69 and 143,731.87

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Solution

The fourth proportional to 224,296.85, 309,354.69 and 143,731.87 is: 198,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,296.85 : 309,354.69 = 143,731.87 : x
  2. Step 2: Convert to fraction form
    224,296.85/309,354.69 = 143,731.87/x
  3. Step 3: Cross multiply
    224,296.85x = 309,354.69 × 143,731.87
  4. Step 4: Simplify right side
    224,296.85x = 44,464,127,852.58
  5. Step 5: Solve for x
    x = 44,464,127,852.58/224,296.85
  6. Step 6: Final answer
    x = 198,237.86

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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.