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Finding the Fourth Proportional to 106,244, 146,616.72 and 59,140

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Solution

The fourth proportional to 106,244, 146,616.72 and 59,140 is: 81,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,244 : 146,616.72 = 59,140 : x
  2. Step 2: Convert to fraction form
    106,244/146,616.72 = 59,140/x
  3. Step 3: Cross multiply
    106,244x = 146,616.72 × 59,140
  4. Step 4: Simplify right side
    106,244x = 8,670,912,820.80
  5. Step 5: Solve for x
    x = 8,670,912,820.80/106,244
  6. Step 6: Final answer
    x = 81,613.20

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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.