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Finding the Fourth Proportional to 233,222.87, 349,836.25 and 64,756.33

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Solution

The fourth proportional to 233,222.87, 349,836.25 and 64,756.33 is: 97,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,222.87 : 349,836.25 = 64,756.33 : x
  2. Step 2: Convert to fraction form
    233,222.87/349,836.25 = 64,756.33/x
  3. Step 3: Cross multiply
    233,222.87x = 349,836.25 × 64,756.33
  4. Step 4: Simplify right side
    233,222.87x = 22,654,112,703.73
  5. Step 5: Solve for x
    x = 22,654,112,703.73/233,222.87
  6. Step 6: Final answer
    x = 97,135.04

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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.