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Finding the Fourth Proportional to 164,704, 247,058.16 and 53,896

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Solution

The fourth proportional to 164,704, 247,058.16 and 53,896 is: 80,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704 : 247,058.16 = 53,896 : x
  2. Step 2: Convert to fraction form
    164,704/247,058.16 = 53,896/x
  3. Step 3: Cross multiply
    164,704x = 247,058.16 × 53,896
  4. Step 4: Simplify right side
    164,704x = 13,315,446,591.36
  5. Step 5: Solve for x
    x = 13,315,446,591.36/164,704
  6. Step 6: Final answer
    x = 80,844.71

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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.