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Finding the Fourth Proportional to 214,435.62, 295,934.40 and 123,808.14

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Solution

The fourth proportional to 214,435.62, 295,934.40 and 123,808.14 is: 170,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,435.62 : 295,934.40 = 123,808.14 : x
  2. Step 2: Convert to fraction form
    214,435.62/295,934.40 = 123,808.14/x
  3. Step 3: Cross multiply
    214,435.62x = 295,934.40 × 123,808.14
  4. Step 4: Simplify right side
    214,435.62x = 36,639,087,626.02
  5. Step 5: Solve for x
    x = 36,639,087,626.02/214,435.62
  6. Step 6: Final answer
    x = 170,862.88

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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.