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Finding the Fourth Proportional to 159,065.05, 238,422.60 and 65,519.77

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Solution

The fourth proportional to 159,065.05, 238,422.60 and 65,519.77 is: 98,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,065.05 : 238,422.60 = 65,519.77 : x
  2. Step 2: Convert to fraction form
    159,065.05/238,422.60 = 65,519.77/x
  3. Step 3: Cross multiply
    159,065.05x = 238,422.60 × 65,519.77
  4. Step 4: Simplify right side
    159,065.05x = 15,621,393,914.80
  5. Step 5: Solve for x
    x = 15,621,393,914.80/159,065.05
  6. Step 6: Final answer
    x = 98,207.58

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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.