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Finding the Fourth Proportional to 259,344.18, 357,904.98 and 146,164.50

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Solution

The fourth proportional to 259,344.18, 357,904.98 and 146,164.50 is: 201,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,344.18 : 357,904.98 = 146,164.50 : x
  2. Step 2: Convert to fraction form
    259,344.18/357,904.98 = 146,164.50/x
  3. Step 3: Cross multiply
    259,344.18x = 357,904.98 × 146,164.50
  4. Step 4: Simplify right side
    259,344.18x = 52,313,002,449.21
  5. Step 5: Solve for x
    x = 52,313,002,449.21/259,344.18
  6. Step 6: Final answer
    x = 201,712.65

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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.