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Finding the Fourth Proportional to 105,903.24, 158,931.33 and 61,470.69

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Solution

The fourth proportional to 105,903.24, 158,931.33 and 61,470.69 is: 92,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.24 : 158,931.33 = 61,470.69 : x
  2. Step 2: Convert to fraction form
    105,903.24/158,931.33 = 61,470.69/x
  3. Step 3: Cross multiply
    105,903.24x = 158,931.33 × 61,470.69
  4. Step 4: Simplify right side
    105,903.24x = 9,769,618,517.72
  5. Step 5: Solve for x
    x = 9,769,618,517.72/105,903.24
  6. Step 6: Final answer
    x = 92,250.42

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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.