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Finding the Fourth Proportional to 103,524.94, 142,869.50 and 58,217.19

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Solution

The fourth proportional to 103,524.94, 142,869.50 and 58,217.19 is: 80,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.94 : 142,869.50 = 58,217.19 : x
  2. Step 2: Convert to fraction form
    103,524.94/142,869.50 = 58,217.19/x
  3. Step 3: Cross multiply
    103,524.94x = 142,869.50 × 58,217.19
  4. Step 4: Simplify right side
    103,524.94x = 8,317,460,826.71
  5. Step 5: Solve for x
    x = 8,317,460,826.71/103,524.94
  6. Step 6: Final answer
    x = 80,342.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.