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Finding the Fourth Proportional to 150,035.40, 224,983.80 and 55,241.76

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Solution

The fourth proportional to 150,035.40, 224,983.80 and 55,241.76 is: 82,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,035.40 : 224,983.80 = 55,241.76 : x
  2. Step 2: Convert to fraction form
    150,035.40/224,983.80 = 55,241.76/x
  3. Step 3: Cross multiply
    150,035.40x = 224,983.80 × 55,241.76
  4. Step 4: Simplify right side
    150,035.40x = 12,428,501,083.49
  5. Step 5: Solve for x
    x = 12,428,501,083.49/150,035.40
  6. Step 6: Final answer
    x = 82,837.12

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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.