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Finding the Fourth Proportional to 150,290, 207,415.32 and 83,222

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Solution

The fourth proportional to 150,290, 207,415.32 and 83,222 is: 114,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,290 : 207,415.32 = 83,222 : x
  2. Step 2: Convert to fraction form
    150,290/207,415.32 = 83,222/x
  3. Step 3: Cross multiply
    150,290x = 207,415.32 × 83,222
  4. Step 4: Simplify right side
    150,290x = 17,261,517,761.04
  5. Step 5: Solve for x
    x = 17,261,517,761.04/150,290
  6. Step 6: Final answer
    x = 114,854.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.