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Finding the Fourth Proportional to 164,047.28, 246,105.24 and 69,277.68

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Solution

The fourth proportional to 164,047.28, 246,105.24 and 69,277.68 is: 103,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.28 : 246,105.24 = 69,277.68 : x
  2. Step 2: Convert to fraction form
    164,047.28/246,105.24 = 69,277.68/x
  3. Step 3: Cross multiply
    164,047.28x = 246,105.24 × 69,277.68
  4. Step 4: Simplify right side
    164,047.28x = 17,049,600,063.04
  5. Step 5: Solve for x
    x = 17,049,600,063.04/164,047.28
  6. Step 6: Final answer
    x = 103,931.01

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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.