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Finding the Fourth Proportional to 150,005.84, 207,015.24 and 82,942.16

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Solution

The fourth proportional to 150,005.84, 207,015.24 and 82,942.16 is: 114,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,005.84 : 207,015.24 = 82,942.16 : x
  2. Step 2: Convert to fraction form
    150,005.84/207,015.24 = 82,942.16/x
  3. Step 3: Cross multiply
    150,005.84x = 207,015.24 × 82,942.16
  4. Step 4: Simplify right side
    150,005.84x = 17,170,291,158.52
  5. Step 5: Solve for x
    x = 17,170,291,158.52/150,005.84
  6. Step 6: Final answer
    x = 114,464.15

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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.