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Finding the Fourth Proportional to 149,315.65, 223,970.72 and 36,996.14

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Solution

The fourth proportional to 149,315.65, 223,970.72 and 36,996.14 is: 55,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,315.65 : 223,970.72 = 36,996.14 : x
  2. Step 2: Convert to fraction form
    149,315.65/223,970.72 = 36,996.14/x
  3. Step 3: Cross multiply
    149,315.65x = 223,970.72 × 36,996.14
  4. Step 4: Simplify right side
    149,315.65x = 8,286,052,696.07
  5. Step 5: Solve for x
    x = 8,286,052,696.07/149,315.65
  6. Step 6: Final answer
    x = 55,493.53

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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.