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Finding the Fourth Proportional to 159,644.42, 220,293.72 and 98,381.08

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Solution

The fourth proportional to 159,644.42, 220,293.72 and 98,381.08 is: 135,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,644.42 : 220,293.72 = 98,381.08 : x
  2. Step 2: Convert to fraction form
    159,644.42/220,293.72 = 98,381.08/x
  3. Step 3: Cross multiply
    159,644.42x = 220,293.72 × 98,381.08
  4. Step 4: Simplify right side
    159,644.42x = 21,672,734,090.82
  5. Step 5: Solve for x
    x = 21,672,734,090.82/159,644.42
  6. Step 6: Final answer
    x = 135,756.29

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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.