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Finding the Fourth Proportional to 150,986.39, 208,363.77 and 83,006.19

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Solution

The fourth proportional to 150,986.39, 208,363.77 and 83,006.19 is: 114,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,986.39 : 208,363.77 = 83,006.19 : x
  2. Step 2: Convert to fraction form
    150,986.39/208,363.77 = 83,006.19/x
  3. Step 3: Cross multiply
    150,986.39x = 208,363.77 × 83,006.19
  4. Step 4: Simplify right side
    150,986.39x = 17,295,482,681.74
  5. Step 5: Solve for x
    x = 17,295,482,681.74/150,986.39
  6. Step 6: Final answer
    x = 114,549.95

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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.