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Finding the Fourth Proportional to 233,633.88, 322,313.02 and 142,993.88

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Solution

The fourth proportional to 233,633.88, 322,313.02 and 142,993.88 is: 197,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,633.88 : 322,313.02 = 142,993.88 : x
  2. Step 2: Convert to fraction form
    233,633.88/322,313.02 = 142,993.88/x
  3. Step 3: Cross multiply
    233,633.88x = 322,313.02 × 142,993.88
  4. Step 4: Simplify right side
    233,633.88x = 46,088,789,304.32
  5. Step 5: Solve for x
    x = 46,088,789,304.32/233,633.88
  6. Step 6: Final answer
    x = 197,269.29

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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.