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Finding the Fourth Proportional to 267,264.86, 368,825.58 and 146,410.49

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Solution

The fourth proportional to 267,264.86, 368,825.58 and 146,410.49 is: 202,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,264.86 : 368,825.58 = 146,410.49 : x
  2. Step 2: Convert to fraction form
    267,264.86/368,825.58 = 146,410.49/x
  3. Step 3: Cross multiply
    267,264.86x = 368,825.58 × 146,410.49
  4. Step 4: Simplify right side
    267,264.86x = 53,999,932,048.21
  5. Step 5: Solve for x
    x = 53,999,932,048.21/267,264.86
  6. Step 6: Final answer
    x = 202,046.51

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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.