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Finding the Fourth Proportional to 230,763.62, 318,422.30 and 128,776.06

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Solution

The fourth proportional to 230,763.62, 318,422.30 and 128,776.06 is: 177,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,763.62 : 318,422.30 = 128,776.06 : x
  2. Step 2: Convert to fraction form
    230,763.62/318,422.30 = 128,776.06/x
  3. Step 3: Cross multiply
    230,763.62x = 318,422.30 × 128,776.06
  4. Step 4: Simplify right side
    230,763.62x = 41,005,167,618.03
  5. Step 5: Solve for x
    x = 41,005,167,618.03/230,763.62
  6. Step 6: Final answer
    x = 177,693.38

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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.