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Finding the Fourth Proportional to 233,285.58, 349,367.86 and 133,142.16

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Solution

The fourth proportional to 233,285.58, 349,367.86 and 133,142.16 is: 199,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,285.58 : 349,367.86 = 133,142.16 : x
  2. Step 2: Convert to fraction form
    233,285.58/349,367.86 = 133,142.16/x
  3. Step 3: Cross multiply
    233,285.58x = 349,367.86 × 133,142.16
  4. Step 4: Simplify right side
    233,285.58x = 46,515,590,849.27
  5. Step 5: Solve for x
    x = 46,515,590,849.27/233,285.58
  6. Step 6: Final answer
    x = 199,393.34

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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.