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Finding the Fourth Proportional to 259,393.44, 357,945.84 and 146,213.76

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Solution

The fourth proportional to 259,393.44, 357,945.84 and 146,213.76 is: 201,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,393.44 : 357,945.84 = 146,213.76 : x
  2. Step 2: Convert to fraction form
    259,393.44/357,945.84 = 146,213.76/x
  3. Step 3: Cross multiply
    259,393.44x = 357,945.84 × 146,213.76
  4. Step 4: Simplify right side
    259,393.44x = 52,336,607,142.76
  5. Step 5: Solve for x
    x = 52,336,607,142.76/259,393.44
  6. Step 6: Final answer
    x = 201,765.35

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