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Finding the Fourth Proportional to 259,298, 357,822.28 and 146,114

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Solution

The fourth proportional to 259,298, 357,822.28 and 146,114 is: 201,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,298 : 357,822.28 = 146,114 : x
  2. Step 2: Convert to fraction form
    259,298/357,822.28 = 146,114/x
  3. Step 3: Cross multiply
    259,298x = 357,822.28 × 146,114
  4. Step 4: Simplify right side
    259,298x = 52,282,844,619.92
  5. Step 5: Solve for x
    x = 52,282,844,619.92/259,298
  6. Step 6: Final answer
    x = 201,632.27

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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.