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Finding the Fourth Proportional to 154,460.80, 231,712.80 and 65,713.60

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Solution

The fourth proportional to 154,460.80, 231,712.80 and 65,713.60 is: 98,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,460.80 : 231,712.80 = 65,713.60 : x
  2. Step 2: Convert to fraction form
    154,460.80/231,712.80 = 65,713.60/x
  3. Step 3: Cross multiply
    154,460.80x = 231,712.80 × 65,713.60
  4. Step 4: Simplify right side
    154,460.80x = 15,226,682,254.08
  5. Step 5: Solve for x
    x = 15,226,682,254.08/154,460.80
  6. Step 6: Final answer
    x = 98,579.59

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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.