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Finding the Fourth Proportional to 147,410, 221,149.56 and 48,914

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Solution

The fourth proportional to 147,410, 221,149.56 and 48,914 is: 73,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410 : 221,149.56 = 48,914 : x
  2. Step 2: Convert to fraction form
    147,410/221,149.56 = 48,914/x
  3. Step 3: Cross multiply
    147,410x = 221,149.56 × 48,914
  4. Step 4: Simplify right side
    147,410x = 10,817,309,577.84
  5. Step 5: Solve for x
    x = 10,817,309,577.84/147,410
  6. Step 6: Final answer
    x = 73,382.47

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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.