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Finding the Fourth Proportional to 233,643.66, 322,427.98 and 126,213.68

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Solution

The fourth proportional to 233,643.66, 322,427.98 and 126,213.68 is: 174,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,643.66 : 322,427.98 = 126,213.68 : x
  2. Step 2: Convert to fraction form
    233,643.66/322,427.98 = 126,213.68/x
  3. Step 3: Cross multiply
    233,643.66x = 322,427.98 × 126,213.68
  4. Step 4: Simplify right side
    233,643.66x = 40,694,821,890.77
  5. Step 5: Solve for x
    x = 40,694,821,890.77/233,643.66
  6. Step 6: Final answer
    x = 174,174.73

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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.