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Finding the Fourth Proportional to 233,362.66, 322,046.97 and 142,717

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Solution

The fourth proportional to 233,362.66, 322,046.97 and 142,717 is: 196,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,362.66 : 322,046.97 = 142,717 : x
  2. Step 2: Convert to fraction form
    233,362.66/322,046.97 = 142,717/x
  3. Step 3: Cross multiply
    233,362.66x = 322,046.97 × 142,717
  4. Step 4: Simplify right side
    233,362.66x = 45,961,577,417.49
  5. Step 5: Solve for x
    x = 45,961,577,417.49/233,362.66
  6. Step 6: Final answer
    x = 196,953.43

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1.5x scale

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.