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Finding the Fourth Proportional to 233,169.30, 349,604.06 and 153,112.68

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Solution

The fourth proportional to 233,169.30, 349,604.06 and 153,112.68 is: 229,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,169.30 : 349,604.06 = 153,112.68 : x
  2. Step 2: Convert to fraction form
    233,169.30/349,604.06 = 153,112.68/x
  3. Step 3: Cross multiply
    233,169.30x = 349,604.06 × 153,112.68
  4. Step 4: Simplify right side
    233,169.30x = 53,528,813,799.92
  5. Step 5: Solve for x
    x = 53,528,813,799.92/233,169.30
  6. Step 6: Final answer
    x = 229,570.59

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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.