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Finding the Fourth Proportional to 234,609.96, 351,964.16 and 101,509.14

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Solution

The fourth proportional to 234,609.96, 351,964.16 and 101,509.14 is: 152,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,609.96 : 351,964.16 = 101,509.14 : x
  2. Step 2: Convert to fraction form
    234,609.96/351,964.16 = 101,509.14/x
  3. Step 3: Cross multiply
    234,609.96x = 351,964.16 × 101,509.14
  4. Step 4: Simplify right side
    234,609.96x = 35,727,578,684.88
  5. Step 5: Solve for x
    x = 35,727,578,684.88/234,609.96
  6. Step 6: Final answer
    x = 152,285.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.