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Finding the Fourth Proportional to 208,949, 288,349.62 and 119,525

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Solution

The fourth proportional to 208,949, 288,349.62 and 119,525 is: 164,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,949 : 288,349.62 = 119,525 : x
  2. Step 2: Convert to fraction form
    208,949/288,349.62 = 119,525/x
  3. Step 3: Cross multiply
    208,949x = 288,349.62 × 119,525
  4. Step 4: Simplify right side
    208,949x = 34,464,988,330.50
  5. Step 5: Solve for x
    x = 34,464,988,330.50/208,949
  6. Step 6: Final answer
    x = 164,944.50

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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.