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Finding the Fourth Proportional to 233,235.67, 349,839.26 and 137,226.14

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Solution

The fourth proportional to 233,235.67, 349,839.26 and 137,226.14 is: 205,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,235.67 : 349,839.26 = 137,226.14 : x
  2. Step 2: Convert to fraction form
    233,235.67/349,839.26 = 137,226.14/x
  3. Step 3: Cross multiply
    233,235.67x = 349,839.26 × 137,226.14
  4. Step 4: Simplify right side
    233,235.67x = 48,007,091,270.26
  5. Step 5: Solve for x
    x = 48,007,091,270.26/233,235.67
  6. Step 6: Final answer
    x = 205,830.83

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1.5x scale

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.