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Finding the Fourth Proportional to 149,471.34, 224,243.37 and 42,857.34

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Solution

The fourth proportional to 149,471.34, 224,243.37 and 42,857.34 is: 64,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,471.34 : 224,243.37 = 42,857.34 : x
  2. Step 2: Convert to fraction form
    149,471.34/224,243.37 = 42,857.34/x
  3. Step 3: Cross multiply
    149,471.34x = 224,243.37 × 42,857.34
  4. Step 4: Simplify right side
    149,471.34x = 9,610,474,350.84
  5. Step 5: Solve for x
    x = 9,610,474,350.84/149,471.34
  6. Step 6: Final answer
    x = 64,296.44

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1.5x scale

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.