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Finding the Fourth Proportional to 259,417, 357,995.46 and 140,185

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Solution

The fourth proportional to 259,417, 357,995.46 and 140,185 is: 193,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,417 : 357,995.46 = 140,185 : x
  2. Step 2: Convert to fraction form
    259,417/357,995.46 = 140,185/x
  3. Step 3: Cross multiply
    259,417x = 357,995.46 × 140,185
  4. Step 4: Simplify right side
    259,417x = 50,185,593,560.10
  5. Step 5: Solve for x
    x = 50,185,593,560.10/259,417
  6. Step 6: Final answer
    x = 193,455.30

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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.