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Finding the Fourth Proportional to 259,409, 357,989.89 and 146,231.75

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Solution

The fourth proportional to 259,409, 357,989.89 and 146,231.75 is: 201,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,409 : 357,989.89 = 146,231.75 : x
  2. Step 2: Convert to fraction form
    259,409/357,989.89 = 146,231.75/x
  3. Step 3: Cross multiply
    259,409x = 357,989.89 × 146,231.75
  4. Step 4: Simplify right side
    259,409x = 52,349,488,097.01
  5. Step 5: Solve for x
    x = 52,349,488,097.01/259,409
  6. Step 6: Final answer
    x = 201,802.90

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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.