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Finding the Fourth Proportional to 154,026.80, 230,867.40 and 65,265.20

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Solution

The fourth proportional to 154,026.80, 230,867.40 and 65,265.20 is: 97,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,026.80 : 230,867.40 = 65,265.20 : x
  2. Step 2: Convert to fraction form
    154,026.80/230,867.40 = 65,265.20/x
  3. Step 3: Cross multiply
    154,026.80x = 230,867.40 × 65,265.20
  4. Step 4: Simplify right side
    154,026.80x = 15,067,607,034.48
  5. Step 5: Solve for x
    x = 15,067,607,034.48/154,026.80
  6. Step 6: Final answer
    x = 97,824.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.