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Finding the Fourth Proportional to 267,642.90, 369,351.95 and 146,783.14

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Solution

The fourth proportional to 267,642.90, 369,351.95 and 146,783.14 is: 202,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642.90 : 369,351.95 = 146,783.14 : x
  2. Step 2: Convert to fraction form
    267,642.90/369,351.95 = 146,783.14/x
  3. Step 3: Cross multiply
    267,642.90x = 369,351.95 × 146,783.14
  4. Step 4: Simplify right side
    267,642.90x = 54,214,638,713.90
  5. Step 5: Solve for x
    x = 54,214,638,713.90/267,642.90
  6. Step 6: Final answer
    x = 202,563.33

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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.