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Finding the Fourth Proportional to 106,062.75, 159,085.80 and 61,661.16

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Solution

The fourth proportional to 106,062.75, 159,085.80 and 61,661.16 is: 92,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062.75 : 159,085.80 = 61,661.16 : x
  2. Step 2: Convert to fraction form
    106,062.75/159,085.80 = 61,661.16/x
  3. Step 3: Cross multiply
    106,062.75x = 159,085.80 × 61,661.16
  4. Step 4: Simplify right side
    106,062.75x = 9,809,414,967.53
  5. Step 5: Solve for x
    x = 9,809,414,967.53/106,062.75
  6. Step 6: Final answer
    x = 92,486.90

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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.