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Finding the Fourth Proportional to 150,653.56, 207,901.34 and 82,671.66

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Solution

The fourth proportional to 150,653.56, 207,901.34 and 82,671.66 is: 114,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,653.56 : 207,901.34 = 82,671.66 : x
  2. Step 2: Convert to fraction form
    150,653.56/207,901.34 = 82,671.66/x
  3. Step 3: Cross multiply
    150,653.56x = 207,901.34 × 82,671.66
  4. Step 4: Simplify right side
    150,653.56x = 17,187,548,894.02
  5. Step 5: Solve for x
    x = 17,187,548,894.02/150,653.56
  6. Step 6: Final answer
    x = 114,086.58

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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.