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Finding the Fourth Proportional to 208,953, 288,355.14 and 119,529

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Solution

The fourth proportional to 208,953, 288,355.14 and 119,529 is: 164,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953 : 288,355.14 = 119,529 : x
  2. Step 2: Convert to fraction form
    208,953/288,355.14 = 119,529/x
  3. Step 3: Cross multiply
    208,953x = 288,355.14 × 119,529
  4. Step 4: Simplify right side
    208,953x = 34,466,801,529.06
  5. Step 5: Solve for x
    x = 34,466,801,529.06/208,953
  6. Step 6: Final answer
    x = 164,950.02

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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.