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Finding the Fourth Proportional to 100,690.70, 150,906.45 and 77,200.70

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Solution

The fourth proportional to 100,690.70, 150,906.45 and 77,200.70 is: 115,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,690.70 : 150,906.45 = 77,200.70 : x
  2. Step 2: Convert to fraction form
    100,690.70/150,906.45 = 77,200.70/x
  3. Step 3: Cross multiply
    100,690.70x = 150,906.45 × 77,200.70
  4. Step 4: Simplify right side
    100,690.70x = 11,650,083,574.52
  5. Step 5: Solve for x
    x = 11,650,083,574.52/100,690.70
  6. Step 6: Final answer
    x = 115,701.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.