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Finding the Fourth Proportional to 109,138.70, 163,708.05 and 35,266.70

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Solution

The fourth proportional to 109,138.70, 163,708.05 and 35,266.70 is: 52,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138.70 : 163,708.05 = 35,266.70 : x
  2. Step 2: Convert to fraction form
    109,138.70/163,708.05 = 35,266.70/x
  3. Step 3: Cross multiply
    109,138.70x = 163,708.05 × 35,266.70
  4. Step 4: Simplify right side
    109,138.70x = 5,773,442,686.94
  5. Step 5: Solve for x
    x = 5,773,442,686.94/109,138.70
  6. Step 6: Final answer
    x = 52,900.05

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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.