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Finding the Fourth Proportional to 199,774.59, 275,697.32 and 114,891.72

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Solution

The fourth proportional to 199,774.59, 275,697.32 and 114,891.72 is: 158,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,774.59 : 275,697.32 = 114,891.72 : x
  2. Step 2: Convert to fraction form
    199,774.59/275,697.32 = 114,891.72/x
  3. Step 3: Cross multiply
    199,774.59x = 275,697.32 × 114,891.72
  4. Step 4: Simplify right side
    199,774.59x = 31,675,339,294.19
  5. Step 5: Solve for x
    x = 31,675,339,294.19/199,774.59
  6. Step 6: Final answer
    x = 158,555.40

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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.