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Finding the Fourth Proportional to 159,020.80, 238,440.48 and 65,415.04

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Solution

The fourth proportional to 159,020.80, 238,440.48 and 65,415.04 is: 98,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,020.80 : 238,440.48 = 65,415.04 : x
  2. Step 2: Convert to fraction form
    159,020.80/238,440.48 = 65,415.04/x
  3. Step 3: Cross multiply
    159,020.80x = 238,440.48 × 65,415.04
  4. Step 4: Simplify right side
    159,020.80x = 15,597,593,536.82
  5. Step 5: Solve for x
    x = 15,597,593,536.82/159,020.80
  6. Step 6: Final answer
    x = 98,085.24

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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.