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Finding the Fourth Proportional to 146,830.80, 220,030.02 and 65,679.42

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Solution

The fourth proportional to 146,830.80, 220,030.02 and 65,679.42 is: 98,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830.80 : 220,030.02 = 65,679.42 : x
  2. Step 2: Convert to fraction form
    146,830.80/220,030.02 = 65,679.42/x
  3. Step 3: Cross multiply
    146,830.80x = 220,030.02 × 65,679.42
  4. Step 4: Simplify right side
    146,830.80x = 14,451,444,096.19
  5. Step 5: Solve for x
    x = 14,451,444,096.19/146,830.80
  6. Step 6: Final answer
    x = 98,422.43

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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.