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Finding the Fourth Proportional to 150,186.84, 207,036.99 and 114,314.37

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Solution

The fourth proportional to 150,186.84, 207,036.99 and 114,314.37 is: 157,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186.84 : 207,036.99 = 114,314.37 : x
  2. Step 2: Convert to fraction form
    150,186.84/207,036.99 = 114,314.37/x
  3. Step 3: Cross multiply
    150,186.84x = 207,036.99 × 114,314.37
  4. Step 4: Simplify right side
    150,186.84x = 23,667,303,078.55
  5. Step 5: Solve for x
    x = 23,667,303,078.55/150,186.84
  6. Step 6: Final answer
    x = 157,585.73

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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.