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Finding the Fourth Proportional to 233,458.32, 349,626.10 and 133,314.98

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Solution

The fourth proportional to 233,458.32, 349,626.10 and 133,314.98 is: 199,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,458.32 : 349,626.10 = 133,314.98 : x
  2. Step 2: Convert to fraction form
    233,458.32/349,626.10 = 133,314.98/x
  3. Step 3: Cross multiply
    233,458.32x = 349,626.10 × 133,314.98
  4. Step 4: Simplify right side
    233,458.32x = 46,610,396,289.22
  5. Step 5: Solve for x
    x = 46,610,396,289.22/233,458.32
  6. Step 6: Final answer
    x = 199,651.90

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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.