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Finding the Fourth Proportional to 267,314.87, 368,894.51 and 146,460.74

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Solution

The fourth proportional to 267,314.87, 368,894.51 and 146,460.74 is: 202,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,314.87 : 368,894.51 = 146,460.74 : x
  2. Step 2: Convert to fraction form
    267,314.87/368,894.51 = 146,460.74/x
  3. Step 3: Cross multiply
    267,314.87x = 368,894.51 × 146,460.74
  4. Step 4: Simplify right side
    267,314.87x = 54,028,561,072.06
  5. Step 5: Solve for x
    x = 54,028,561,072.06/267,314.87
  6. Step 6: Final answer
    x = 202,115.81

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Why These Related Problems?

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