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Finding the Fourth Proportional to 150,132.84, 207,186.34 and 83,065.96

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Solution

The fourth proportional to 150,132.84, 207,186.34 and 83,065.96 is: 114,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,132.84 : 207,186.34 = 83,065.96 : x
  2. Step 2: Convert to fraction form
    150,132.84/207,186.34 = 83,065.96/x
  3. Step 3: Cross multiply
    150,132.84x = 207,186.34 × 83,065.96
  4. Step 4: Simplify right side
    150,132.84x = 17,210,132,230.99
  5. Step 5: Solve for x
    x = 17,210,132,230.99/150,132.84
  6. Step 6: Final answer
    x = 114,632.70

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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.