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Finding the Fourth Proportional to 105,767.70, 158,610.39 and 53,140.50

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Solution

The fourth proportional to 105,767.70, 158,610.39 and 53,140.50 is: 79,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,767.70 : 158,610.39 = 53,140.50 : x
  2. Step 2: Convert to fraction form
    105,767.70/158,610.39 = 53,140.50/x
  3. Step 3: Cross multiply
    105,767.70x = 158,610.39 × 53,140.50
  4. Step 4: Simplify right side
    105,767.70x = 8,428,635,429.80
  5. Step 5: Solve for x
    x = 8,428,635,429.80/105,767.70
  6. Step 6: Final answer
    x = 79,690.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.