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Finding the Fourth Proportional to 105,752.88, 158,629.32 and 61,687.26

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Solution

The fourth proportional to 105,752.88, 158,629.32 and 61,687.26 is: 92,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752.88 : 158,629.32 = 61,687.26 : x
  2. Step 2: Convert to fraction form
    105,752.88/158,629.32 = 61,687.26/x
  3. Step 3: Cross multiply
    105,752.88x = 158,629.32 × 61,687.26
  4. Step 4: Simplify right side
    105,752.88x = 9,785,408,106.46
  5. Step 5: Solve for x
    x = 9,785,408,106.46/105,752.88
  6. Step 6: Final answer
    x = 92,530.89

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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.