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Finding the Fourth Proportional to 159,967.30, 220,745.96 and 99,536.02

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Solution

The fourth proportional to 159,967.30, 220,745.96 and 99,536.02 is: 137,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,967.30 : 220,745.96 = 99,536.02 : x
  2. Step 2: Convert to fraction form
    159,967.30/220,745.96 = 99,536.02/x
  3. Step 3: Cross multiply
    159,967.30x = 220,745.96 × 99,536.02
  4. Step 4: Simplify right side
    159,967.30x = 21,972,174,289.48
  5. Step 5: Solve for x
    x = 21,972,174,289.48/159,967.30
  6. Step 6: Final answer
    x = 137,354.16

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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.