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Finding the Fourth Proportional to 208,834.92, 288,049.50 and 133,349.40

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Solution

The fourth proportional to 208,834.92, 288,049.50 and 133,349.40 is: 183,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.92 : 288,049.50 = 133,349.40 : x
  2. Step 2: Convert to fraction form
    208,834.92/288,049.50 = 133,349.40/x
  3. Step 3: Cross multiply
    208,834.92x = 288,049.50 × 133,349.40
  4. Step 4: Simplify right side
    208,834.92x = 38,411,227,995.30
  5. Step 5: Solve for x
    x = 38,411,227,995.30/208,834.92
  6. Step 6: Final answer
    x = 183,931.06

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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.