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Finding the Fourth Proportional to 233,889.73, 322,850.82 and 138,396.22

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Solution

The fourth proportional to 233,889.73, 322,850.82 and 138,396.22 is: 191,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,889.73 : 322,850.82 = 138,396.22 : x
  2. Step 2: Convert to fraction form
    233,889.73/322,850.82 = 138,396.22/x
  3. Step 3: Cross multiply
    233,889.73x = 322,850.82 × 138,396.22
  4. Step 4: Simplify right side
    233,889.73x = 44,681,333,111.90
  5. Step 5: Solve for x
    x = 44,681,333,111.90/233,889.73
  6. Step 6: Final answer
    x = 191,035.89

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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.