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Finding the Fourth Proportional to 119,507.16, 179,262.90 and 36,399

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Solution

The fourth proportional to 119,507.16, 179,262.90 and 36,399 is: 54,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,507.16 : 179,262.90 = 36,399 : x
  2. Step 2: Convert to fraction form
    119,507.16/179,262.90 = 36,399/x
  3. Step 3: Cross multiply
    119,507.16x = 179,262.90 × 36,399
  4. Step 4: Simplify right side
    119,507.16x = 6,524,990,297.10
  5. Step 5: Solve for x
    x = 6,524,990,297.10/119,507.16
  6. Step 6: Final answer
    x = 54,599.16

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Why These Related Problems?

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