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Finding the Fourth Proportional to 233,958.16, 322,864.20 and 133,362.64

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Solution

The fourth proportional to 233,958.16, 322,864.20 and 133,362.64 is: 184,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,958.16 : 322,864.20 = 133,362.64 : x
  2. Step 2: Convert to fraction form
    233,958.16/322,864.20 = 133,362.64/x
  3. Step 3: Cross multiply
    233,958.16x = 322,864.20 × 133,362.64
  4. Step 4: Simplify right side
    233,958.16x = 43,058,022,073.49
  5. Step 5: Solve for x
    x = 43,058,022,073.49/233,958.16
  6. Step 6: Final answer
    x = 184,041.55

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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.