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Finding the Fourth Proportional to 103,205.19, 142,424.34 and 57,265.67

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Solution

The fourth proportional to 103,205.19, 142,424.34 and 57,265.67 is: 79,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.19 : 142,424.34 = 57,265.67 : x
  2. Step 2: Convert to fraction form
    103,205.19/142,424.34 = 57,265.67/x
  3. Step 3: Cross multiply
    103,205.19x = 142,424.34 × 57,265.67
  4. Step 4: Simplify right side
    103,205.19x = 8,156,024,542.29
  5. Step 5: Solve for x
    x = 8,156,024,542.29/103,205.19
  6. Step 6: Final answer
    x = 79,027.27

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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.