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Finding the Fourth Proportional to 106,064.30, 146,369.04 and 60,743

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Solution

The fourth proportional to 106,064.30, 146,369.04 and 60,743 is: 83,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,064.30 : 146,369.04 = 60,743 : x
  2. Step 2: Convert to fraction form
    106,064.30/146,369.04 = 60,743/x
  3. Step 3: Cross multiply
    106,064.30x = 146,369.04 × 60,743
  4. Step 4: Simplify right side
    106,064.30x = 8,890,894,596.72
  5. Step 5: Solve for x
    x = 8,890,894,596.72/106,064.30
  6. Step 6: Final answer
    x = 83,825.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.