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Finding the Fourth Proportional to 253,694, 350,097.72 and 140,524.04

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Solution

The fourth proportional to 253,694, 350,097.72 and 140,524.04 is: 193,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694 : 350,097.72 = 140,524.04 : x
  2. Step 2: Convert to fraction form
    253,694/350,097.72 = 140,524.04/x
  3. Step 3: Cross multiply
    253,694x = 350,097.72 × 140,524.04
  4. Step 4: Simplify right side
    253,694x = 49,197,146,009.19
  5. Step 5: Solve for x
    x = 49,197,146,009.19/253,694
  6. Step 6: Final answer
    x = 193,923.18

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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.