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Finding the Fourth Proportional to 224,438.63, 309,725.18 and 143,866.11

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Solution

The fourth proportional to 224,438.63, 309,725.18 and 143,866.11 is: 198,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,438.63 : 309,725.18 = 143,866.11 : x
  2. Step 2: Convert to fraction form
    224,438.63/309,725.18 = 143,866.11/x
  3. Step 3: Cross multiply
    224,438.63x = 309,725.18 × 143,866.11
  4. Step 4: Simplify right side
    224,438.63x = 44,558,956,401.00
  5. Step 5: Solve for x
    x = 44,558,956,401.00/224,438.63
  6. Step 6: Final answer
    x = 198,535.15

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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.