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Finding the Fourth Proportional to 102,209.60, 153,339.92 and 35,650.70

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Solution

The fourth proportional to 102,209.60, 153,339.92 and 35,650.70 is: 53,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.60 : 153,339.92 = 35,650.70 : x
  2. Step 2: Convert to fraction form
    102,209.60/153,339.92 = 35,650.70/x
  3. Step 3: Cross multiply
    102,209.60x = 153,339.92 × 35,650.70
  4. Step 4: Simplify right side
    102,209.60x = 5,466,675,485.94
  5. Step 5: Solve for x
    x = 5,466,675,485.94/102,209.60
  6. Step 6: Final answer
    x = 53,484.95

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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.