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Finding the Fourth Proportional to 267,410.16, 369,017.67 and 146,549.25

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Solution

The fourth proportional to 267,410.16, 369,017.67 and 146,549.25 is: 202,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,410.16 : 369,017.67 = 146,549.25 : x
  2. Step 2: Convert to fraction form
    267,410.16/369,017.67 = 146,549.25/x
  3. Step 3: Cross multiply
    267,410.16x = 369,017.67 × 146,549.25
  4. Step 4: Simplify right side
    267,410.16x = 54,079,262,775.25
  5. Step 5: Solve for x
    x = 54,079,262,775.25/267,410.16
  6. Step 6: Final answer
    x = 202,233.39

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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.