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Finding the Fourth Proportional to 267,356.19, 368,949.41 and 146,497.14

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Solution

The fourth proportional to 267,356.19, 368,949.41 and 146,497.14 is: 202,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,356.19 : 368,949.41 = 146,497.14 : x
  2. Step 2: Convert to fraction form
    267,356.19/368,949.41 = 146,497.14/x
  3. Step 3: Cross multiply
    267,356.19x = 368,949.41 × 146,497.14
  4. Step 4: Simplify right side
    267,356.19x = 54,050,034,331.05
  5. Step 5: Solve for x
    x = 54,050,034,331.05/267,356.19
  6. Step 6: Final answer
    x = 202,164.89

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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.