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Finding the Fourth Proportional to 224,716, 337,172.40 and 106,471.84

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Solution

The fourth proportional to 224,716, 337,172.40 and 106,471.84 is: 159,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,716 : 337,172.40 = 106,471.84 : x
  2. Step 2: Convert to fraction form
    224,716/337,172.40 = 106,471.84/x
  3. Step 3: Cross multiply
    224,716x = 337,172.40 × 106,471.84
  4. Step 4: Simplify right side
    224,716x = 35,899,365,825.22
  5. Step 5: Solve for x
    x = 35,899,365,825.22/224,716
  6. Step 6: Final answer
    x = 159,754.38

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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.