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Finding the Fourth Proportional to 105,751.60, 158,315.74 and 92,629.60

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Solution

The fourth proportional to 105,751.60, 158,315.74 and 92,629.60 is: 138,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.60 : 158,315.74 = 92,629.60 : x
  2. Step 2: Convert to fraction form
    105,751.60/158,315.74 = 92,629.60/x
  3. Step 3: Cross multiply
    105,751.60x = 158,315.74 × 92,629.60
  4. Step 4: Simplify right side
    105,751.60x = 14,664,723,669.90
  5. Step 5: Solve for x
    x = 14,664,723,669.90/105,751.60
  6. Step 6: Final answer
    x = 138,671.41

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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.