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Finding the Fourth Proportional to 259,410, 357,991.27 and 146,232.75

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Solution

The fourth proportional to 259,410, 357,991.27 and 146,232.75 is: 201,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410 : 357,991.27 = 146,232.75 : x
  2. Step 2: Convert to fraction form
    259,410/357,991.27 = 146,232.75/x
  3. Step 3: Cross multiply
    259,410x = 357,991.27 × 146,232.75
  4. Step 4: Simplify right side
    259,410x = 52,350,047,888.09
  5. Step 5: Solve for x
    x = 52,350,047,888.09/259,410
  6. Step 6: Final answer
    x = 201,804.28

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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.