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Finding the Fourth Proportional to 224,205.48, 309,228.54 and 143,640.45

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Solution

The fourth proportional to 224,205.48, 309,228.54 and 143,640.45 is: 198,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,205.48 : 309,228.54 = 143,640.45 : x
  2. Step 2: Convert to fraction form
    224,205.48/309,228.54 = 143,640.45/x
  3. Step 3: Cross multiply
    224,205.48x = 309,228.54 × 143,640.45
  4. Step 4: Simplify right side
    224,205.48x = 44,417,726,638.44
  5. Step 5: Solve for x
    x = 44,417,726,638.44/224,205.48
  6. Step 6: Final answer
    x = 198,111.69

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