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Finding the Fourth Proportional to 165,737, 248,605.53 and 54,929

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Solution

The fourth proportional to 165,737, 248,605.53 and 54,929 is: 82,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737 : 248,605.53 = 54,929 : x
  2. Step 2: Convert to fraction form
    165,737/248,605.53 = 54,929/x
  3. Step 3: Cross multiply
    165,737x = 248,605.53 × 54,929
  4. Step 4: Simplify right side
    165,737x = 13,655,653,157.37
  5. Step 5: Solve for x
    x = 13,655,653,157.37/165,737
  6. Step 6: Final answer
    x = 82,393.51

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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.