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Finding the Fourth Proportional to 199,380.98, 299,071.44 and 59,138.40

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Solution

The fourth proportional to 199,380.98, 299,071.44 and 59,138.40 is: 88,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,380.98 : 299,071.44 = 59,138.40 : x
  2. Step 2: Convert to fraction form
    199,380.98/299,071.44 = 59,138.40/x
  3. Step 3: Cross multiply
    199,380.98x = 299,071.44 × 59,138.40
  4. Step 4: Simplify right side
    199,380.98x = 17,686,606,447.30
  5. Step 5: Solve for x
    x = 17,686,606,447.30/199,380.98
  6. Step 6: Final answer
    x = 88,707.59

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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.