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Finding the Fourth Proportional to 224,535.33, 309,910.77 and 148,068.18

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Solution

The fourth proportional to 224,535.33, 309,910.77 and 148,068.18 is: 204,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,535.33 : 309,910.77 = 148,068.18 : x
  2. Step 2: Convert to fraction form
    224,535.33/309,910.77 = 148,068.18/x
  3. Step 3: Cross multiply
    224,535.33x = 309,910.77 × 148,068.18
  4. Step 4: Simplify right side
    224,535.33x = 45,887,923,676.30
  5. Step 5: Solve for x
    x = 45,887,923,676.30/224,535.33
  6. Step 6: Final answer
    x = 204,368.39

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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.