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Finding the Fourth Proportional to 150,800.57, 208,095.59 and 82,804.31

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Solution

The fourth proportional to 150,800.57, 208,095.59 and 82,804.31 is: 114,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,800.57 : 208,095.59 = 82,804.31 : x
  2. Step 2: Convert to fraction form
    150,800.57/208,095.59 = 82,804.31/x
  3. Step 3: Cross multiply
    150,800.57x = 208,095.59 × 82,804.31
  4. Step 4: Simplify right side
    150,800.57x = 17,231,211,329.97
  5. Step 5: Solve for x
    x = 17,231,211,329.97/150,800.57
  6. Step 6: Final answer
    x = 114,264.90

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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.