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Finding the Fourth Proportional to 233,121.73, 349,724.88 and 96,345.06

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Solution

The fourth proportional to 233,121.73, 349,724.88 and 96,345.06 is: 144,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,121.73 : 349,724.88 = 96,345.06 : x
  2. Step 2: Convert to fraction form
    233,121.73/349,724.88 = 96,345.06/x
  3. Step 3: Cross multiply
    233,121.73x = 349,724.88 × 96,345.06
  4. Step 4: Simplify right side
    233,121.73x = 33,694,265,805.04
  5. Step 5: Solve for x
    x = 33,694,265,805.04/233,121.73
  6. Step 6: Final answer
    x = 144,535.07

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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.