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Finding the Fourth Proportional to 199,427.67, 299,140.70 and 81,098.01

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Solution

The fourth proportional to 199,427.67, 299,140.70 and 81,098.01 is: 121,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,427.67 : 299,140.70 = 81,098.01 : x
  2. Step 2: Convert to fraction form
    199,427.67/299,140.70 = 81,098.01/x
  3. Step 3: Cross multiply
    199,427.67x = 299,140.70 × 81,098.01
  4. Step 4: Simplify right side
    199,427.67x = 24,259,715,074.52
  5. Step 5: Solve for x
    x = 24,259,715,074.52/199,427.67
  6. Step 6: Final answer
    x = 121,646.69

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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.