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Finding the Fourth Proportional to 137,604.76, 189,902.24 and 103,552

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Solution

The fourth proportional to 137,604.76, 189,902.24 and 103,552 is: 142,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,604.76 : 189,902.24 = 103,552 : x
  2. Step 2: Convert to fraction form
    137,604.76/189,902.24 = 103,552/x
  3. Step 3: Cross multiply
    137,604.76x = 189,902.24 × 103,552
  4. Step 4: Simplify right side
    137,604.76x = 19,664,756,756.48
  5. Step 5: Solve for x
    x = 19,664,756,756.48/137,604.76
  6. Step 6: Final answer
    x = 142,907.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.