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Finding the Fourth Proportional to 232,978.24, 349,517.04 and 133,186.24

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Solution

The fourth proportional to 232,978.24, 349,517.04 and 133,186.24 is: 199,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978.24 : 349,517.04 = 133,186.24 : x
  2. Step 2: Convert to fraction form
    232,978.24/349,517.04 = 133,186.24/x
  3. Step 3: Cross multiply
    232,978.24x = 349,517.04 × 133,186.24
  4. Step 4: Simplify right side
    232,978.24x = 46,550,860,373.53
  5. Step 5: Solve for x
    x = 46,550,860,373.53/232,978.24
  6. Step 6: Final answer
    x = 199,807.76

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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.