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Finding the Fourth Proportional to 159,710, 220,486.20 and 96,062

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Solution

The fourth proportional to 159,710, 220,486.20 and 96,062 is: 132,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710 : 220,486.20 = 96,062 : x
  2. Step 2: Convert to fraction form
    159,710/220,486.20 = 96,062/x
  3. Step 3: Cross multiply
    159,710x = 220,486.20 × 96,062
  4. Step 4: Simplify right side
    159,710x = 21,180,345,344.40
  5. Step 5: Solve for x
    x = 21,180,345,344.40/159,710
  6. Step 6: Final answer
    x = 132,617.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.