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Finding the Fourth Proportional to 142,360.50, 213,669.54 and 75,856.80

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Solution

The fourth proportional to 142,360.50, 213,669.54 and 75,856.80 is: 113,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,360.50 : 213,669.54 = 75,856.80 : x
  2. Step 2: Convert to fraction form
    142,360.50/213,669.54 = 75,856.80/x
  3. Step 3: Cross multiply
    142,360.50x = 213,669.54 × 75,856.80
  4. Step 4: Simplify right side
    142,360.50x = 16,208,287,561.87
  5. Step 5: Solve for x
    x = 16,208,287,561.87/142,360.50
  6. Step 6: Final answer
    x = 113,853.83

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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.