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Finding the Fourth Proportional to 154,464.10, 231,696.15 and 65,695.30

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Solution

The fourth proportional to 154,464.10, 231,696.15 and 65,695.30 is: 98,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,464.10 : 231,696.15 = 65,695.30 : x
  2. Step 2: Convert to fraction form
    154,464.10/231,696.15 = 65,695.30/x
  3. Step 3: Cross multiply
    154,464.10x = 231,696.15 × 65,695.30
  4. Step 4: Simplify right side
    154,464.10x = 15,221,348,083.10
  5. Step 5: Solve for x
    x = 15,221,348,083.10/154,464.10
  6. Step 6: Final answer
    x = 98,542.95

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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.