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Finding the Fourth Proportional to 159,852.15, 220,460.54 and 96,178.05

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Solution

The fourth proportional to 159,852.15, 220,460.54 and 96,178.05 is: 132,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,852.15 : 220,460.54 = 96,178.05 : x
  2. Step 2: Convert to fraction form
    159,852.15/220,460.54 = 96,178.05/x
  3. Step 3: Cross multiply
    159,852.15x = 220,460.54 × 96,178.05
  4. Step 4: Simplify right side
    159,852.15x = 21,203,464,358.26
  5. Step 5: Solve for x
    x = 21,203,464,358.26/159,852.15
  6. Step 6: Final answer
    x = 132,644.22

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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.