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Finding the Fourth Proportional to 223,951.32, 309,052.82 and 123,349.32

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Solution

The fourth proportional to 223,951.32, 309,052.82 and 123,349.32 is: 170,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,951.32 : 309,052.82 = 123,349.32 : x
  2. Step 2: Convert to fraction form
    223,951.32/309,052.82 = 123,349.32/x
  3. Step 3: Cross multiply
    223,951.32x = 309,052.82 × 123,349.32
  4. Step 4: Simplify right side
    223,951.32x = 38,121,454,574.34
  5. Step 5: Solve for x
    x = 38,121,454,574.34/223,951.32
  6. Step 6: Final answer
    x = 170,222.06

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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.