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Finding the Fourth Proportional to 253,619.16, 349,993.88 and 146,188.48

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Solution

The fourth proportional to 253,619.16, 349,993.88 and 146,188.48 is: 201,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,619.16 : 349,993.88 = 146,188.48 : x
  2. Step 2: Convert to fraction form
    253,619.16/349,993.88 = 146,188.48/x
  3. Step 3: Cross multiply
    253,619.16x = 349,993.88 × 146,188.48
  4. Step 4: Simplify right side
    253,619.16x = 51,165,073,326.50
  5. Step 5: Solve for x
    x = 51,165,073,326.50/253,619.16
  6. Step 6: Final answer
    x = 201,739.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.