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Finding the Fourth Proportional to 224,436.82, 309,729.29 and 123,841.30

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Solution

The fourth proportional to 224,436.82, 309,729.29 and 123,841.30 is: 170,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,436.82 : 309,729.29 = 123,841.30 : x
  2. Step 2: Convert to fraction form
    224,436.82/309,729.29 = 123,841.30/x
  3. Step 3: Cross multiply
    224,436.82x = 309,729.29 × 123,841.30
  4. Step 4: Simplify right side
    224,436.82x = 38,357,277,921.68
  5. Step 5: Solve for x
    x = 38,357,277,921.68/224,436.82
  6. Step 6: Final answer
    x = 170,904.57

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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.