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Finding the Fourth Proportional to 146,821.80, 220,016.52 and 65,670.42

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Solution

The fourth proportional to 146,821.80, 220,016.52 and 65,670.42 is: 98,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821.80 : 220,016.52 = 65,670.42 : x
  2. Step 2: Convert to fraction form
    146,821.80/220,016.52 = 65,670.42/x
  3. Step 3: Cross multiply
    146,821.80x = 220,016.52 × 65,670.42
  4. Step 4: Simplify right side
    146,821.80x = 14,448,577,275.34
  5. Step 5: Solve for x
    x = 14,448,577,275.34/146,821.80
  6. Step 6: Final answer
    x = 98,408.94

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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.