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Finding the Fourth Proportional to 147,797.44, 221,561.92 and 59,032

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Solution

The fourth proportional to 147,797.44, 221,561.92 and 59,032 is: 88,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,797.44 : 221,561.92 = 59,032 : x
  2. Step 2: Convert to fraction form
    147,797.44/221,561.92 = 59,032/x
  3. Step 3: Cross multiply
    147,797.44x = 221,561.92 × 59,032
  4. Step 4: Simplify right side
    147,797.44x = 13,079,243,261.44
  5. Step 5: Solve for x
    x = 13,079,243,261.44/147,797.44
  6. Step 6: Final answer
    x = 88,494.38

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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.