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Finding the Fourth Proportional to 138,138.57, 190,630.95 and 77,709.26

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Solution

The fourth proportional to 138,138.57, 190,630.95 and 77,709.26 is: 107,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.57 : 190,630.95 = 77,709.26 : x
  2. Step 2: Convert to fraction form
    138,138.57/190,630.95 = 77,709.26/x
  3. Step 3: Cross multiply
    138,138.57x = 190,630.95 × 77,709.26
  4. Step 4: Simplify right side
    138,138.57x = 14,813,790,251.87
  5. Step 5: Solve for x
    x = 14,813,790,251.87/138,138.57
  6. Step 6: Final answer
    x = 107,238.62

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1.5x scale

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.