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Finding the Fourth Proportional to 266,097.08, 367,217.42 and 157,205

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Solution

The fourth proportional to 266,097.08, 367,217.42 and 157,205 is: 216,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,097.08 : 367,217.42 = 157,205 : x
  2. Step 2: Convert to fraction form
    266,097.08/367,217.42 = 157,205/x
  3. Step 3: Cross multiply
    266,097.08x = 367,217.42 × 157,205
  4. Step 4: Simplify right side
    266,097.08x = 57,728,414,511.10
  5. Step 5: Solve for x
    x = 57,728,414,511.10/266,097.08
  6. Step 6: Final answer
    x = 216,944.94

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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.