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Finding the Fourth Proportional to 159,686, 220,368.30 and 96,024.86

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Solution

The fourth proportional to 159,686, 220,368.30 and 96,024.86 is: 132,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,686 : 220,368.30 = 96,024.86 : x
  2. Step 2: Convert to fraction form
    159,686/220,368.30 = 96,024.86/x
  3. Step 3: Cross multiply
    159,686x = 220,368.30 × 96,024.86
  4. Step 4: Simplify right side
    159,686x = 21,160,835,155.94
  5. Step 5: Solve for x
    x = 21,160,835,155.94/159,686
  6. Step 6: Final answer
    x = 132,515.28

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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.