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Finding the Fourth Proportional to 289,234.68, 433,786.41 and 102,246.18

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Solution

The fourth proportional to 289,234.68, 433,786.41 and 102,246.18 is: 153,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.68 : 433,786.41 = 102,246.18 : x
  2. Step 2: Convert to fraction form
    289,234.68/433,786.41 = 102,246.18/x
  3. Step 3: Cross multiply
    289,234.68x = 433,786.41 × 102,246.18
  4. Step 4: Simplify right side
    289,234.68x = 44,353,003,358.41
  5. Step 5: Solve for x
    x = 44,353,003,358.41/289,234.68
  6. Step 6: Final answer
    x = 153,346.08

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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.