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Finding the Fourth Proportional to 106,002.84, 146,283.42 and 60,680.56

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Solution

The fourth proportional to 106,002.84, 146,283.42 and 60,680.56 is: 83,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.84 : 146,283.42 = 60,680.56 : x
  2. Step 2: Convert to fraction form
    106,002.84/146,283.42 = 60,680.56/x
  3. Step 3: Cross multiply
    106,002.84x = 146,283.42 × 60,680.56
  4. Step 4: Simplify right side
    106,002.84x = 8,876,559,844.32
  5. Step 5: Solve for x
    x = 8,876,559,844.32/106,002.84
  6. Step 6: Final answer
    x = 83,738.89

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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.