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Finding the Fourth Proportional to 149,544, 224,315.94 and 44,362.05

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Solution

The fourth proportional to 149,544, 224,315.94 and 44,362.05 is: 66,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,544 : 224,315.94 = 44,362.05 : x
  2. Step 2: Convert to fraction form
    149,544/224,315.94 = 44,362.05/x
  3. Step 3: Cross multiply
    149,544x = 224,315.94 × 44,362.05
  4. Step 4: Simplify right side
    149,544x = 9,951,114,946.08
  5. Step 5: Solve for x
    x = 9,951,114,946.08/149,544
  6. Step 6: Final answer
    x = 66,543.06

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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.