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Finding the Fourth Proportional to 233,959.95, 322,786.21 and 190,864.95

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Solution

The fourth proportional to 233,959.95, 322,786.21 and 190,864.95 is: 263,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,959.95 : 322,786.21 = 190,864.95 : x
  2. Step 2: Convert to fraction form
    233,959.95/322,786.21 = 190,864.95/x
  3. Step 3: Cross multiply
    233,959.95x = 322,786.21 × 190,864.95
  4. Step 4: Simplify right side
    233,959.95x = 61,608,573,832.34
  5. Step 5: Solve for x
    x = 61,608,573,832.34/233,959.95
  6. Step 6: Final answer
    x = 263,329.57

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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.