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Finding the Fourth Proportional to 150,866.51, 208,199.26 and 82,887.73

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Solution

The fourth proportional to 150,866.51, 208,199.26 and 82,887.73 is: 114,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,866.51 : 208,199.26 = 82,887.73 : x
  2. Step 2: Convert to fraction form
    150,866.51/208,199.26 = 82,887.73/x
  3. Step 3: Cross multiply
    150,866.51x = 208,199.26 × 82,887.73
  4. Step 4: Simplify right side
    150,866.51x = 17,257,163,632.19
  5. Step 5: Solve for x
    x = 17,257,163,632.19/150,866.51
  6. Step 6: Final answer
    x = 114,386.98

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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.