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Finding the Fourth Proportional to 165,535, 248,341.38 and 54,727

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Solution

The fourth proportional to 165,535, 248,341.38 and 54,727 is: 82,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,535 : 248,341.38 = 54,727 : x
  2. Step 2: Convert to fraction form
    165,535/248,341.38 = 54,727/x
  3. Step 3: Cross multiply
    165,535x = 248,341.38 × 54,727
  4. Step 4: Simplify right side
    165,535x = 13,590,978,703.26
  5. Step 5: Solve for x
    x = 13,590,978,703.26/165,535
  6. Step 6: Final answer
    x = 82,103.35

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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.