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Finding the Fourth Proportional to 233,219.78, 349,828.47 and 91,079.49

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Solution

The fourth proportional to 233,219.78, 349,828.47 and 91,079.49 is: 136,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,219.78 : 349,828.47 = 91,079.49 : x
  2. Step 2: Convert to fraction form
    233,219.78/349,828.47 = 91,079.49/x
  3. Step 3: Cross multiply
    233,219.78x = 349,828.47 × 91,079.49
  4. Step 4: Simplify right side
    233,219.78x = 31,862,198,976.63
  5. Step 5: Solve for x
    x = 31,862,198,976.63/233,219.78
  6. Step 6: Final answer
    x = 136,618.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.