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Finding the Fourth Proportional to 109,138.08, 150,598.32 and 61,390.38

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Solution

The fourth proportional to 109,138.08, 150,598.32 and 61,390.38 is: 84,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,138.08 : 150,598.32 = 61,390.38 : x
  2. Step 2: Convert to fraction form
    109,138.08/150,598.32 = 61,390.38/x
  3. Step 3: Cross multiply
    109,138.08x = 150,598.32 × 61,390.38
  4. Step 4: Simplify right side
    109,138.08x = 9,245,288,092.16
  5. Step 5: Solve for x
    x = 9,245,288,092.16/109,138.08
  6. Step 6: Final answer
    x = 84,711.84

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Why These Related Problems?

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