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Finding the Fourth Proportional to 224,431.75, 309,722.30 and 123,836.23

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Solution

The fourth proportional to 224,431.75, 309,722.30 and 123,836.23 is: 170,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,431.75 : 309,722.30 = 123,836.23 : x
  2. Step 2: Convert to fraction form
    224,431.75/309,722.30 = 123,836.23/x
  3. Step 3: Cross multiply
    224,431.75x = 309,722.30 × 123,836.23
  4. Step 4: Simplify right side
    224,431.75x = 38,354,841,978.93
  5. Step 5: Solve for x
    x = 38,354,841,978.93/224,431.75
  6. Step 6: Final answer
    x = 170,897.58

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1.5x scale

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.