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Finding the Fourth Proportional to 159,952.50, 239,928.06 and 65,161.54

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Solution

The fourth proportional to 159,952.50, 239,928.06 and 65,161.54 is: 97,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,952.50 : 239,928.06 = 65,161.54 : x
  2. Step 2: Convert to fraction form
    159,952.50/239,928.06 = 65,161.54/x
  3. Step 3: Cross multiply
    159,952.50x = 239,928.06 × 65,161.54
  4. Step 4: Simplify right side
    159,952.50x = 15,634,081,656.65
  5. Step 5: Solve for x
    x = 15,634,081,656.65/159,952.50
  6. Step 6: Final answer
    x = 97,742.03

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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.