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Finding the Fourth Proportional to 233,911.54, 322,799.75 and 129,138.75

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Solution

The fourth proportional to 233,911.54, 322,799.75 and 129,138.75 is: 178,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,911.54 : 322,799.75 = 129,138.75 : x
  2. Step 2: Convert to fraction form
    233,911.54/322,799.75 = 129,138.75/x
  3. Step 3: Cross multiply
    233,911.54x = 322,799.75 × 129,138.75
  4. Step 4: Simplify right side
    233,911.54x = 41,685,956,215.31
  5. Step 5: Solve for x
    x = 41,685,956,215.31/233,911.54
  6. Step 6: Final answer
    x = 178,212.48

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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.