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Finding the Fourth Proportional to 224,429, 309,718.50 and 123,833.48

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Solution

The fourth proportional to 224,429, 309,718.50 and 123,833.48 is: 170,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429 : 309,718.50 = 123,833.48 : x
  2. Step 2: Convert to fraction form
    224,429/309,718.50 = 123,833.48/x
  3. Step 3: Cross multiply
    224,429x = 309,718.50 × 123,833.48
  4. Step 4: Simplify right side
    224,429x = 38,353,519,675.38
  5. Step 5: Solve for x
    x = 38,353,519,675.38/224,429
  6. Step 6: Final answer
    x = 170,893.78

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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.