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Finding the Fourth Proportional to 199,294.29, 299,114.16 and 104,591.40

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Solution

The fourth proportional to 199,294.29, 299,114.16 and 104,591.40 is: 156,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,294.29 : 299,114.16 = 104,591.40 : x
  2. Step 2: Convert to fraction form
    199,294.29/299,114.16 = 104,591.40/x
  3. Step 3: Cross multiply
    199,294.29x = 299,114.16 × 104,591.40
  4. Step 4: Simplify right side
    199,294.29x = 31,284,768,754.22
  5. Step 5: Solve for x
    x = 31,284,768,754.22/199,294.29
  6. Step 6: Final answer
    x = 156,977.75

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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.