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Finding the Fourth Proportional to 208,834.94, 288,192.42 and 113,341.68

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Solution

The fourth proportional to 208,834.94, 288,192.42 and 113,341.68 is: 156,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.94 : 288,192.42 = 113,341.68 : x
  2. Step 2: Convert to fraction form
    208,834.94/288,192.42 = 113,341.68/x
  3. Step 3: Cross multiply
    208,834.94x = 288,192.42 × 113,341.68
  4. Step 4: Simplify right side
    208,834.94x = 32,664,213,046.07
  5. Step 5: Solve for x
    x = 32,664,213,046.07/208,834.94
  6. Step 6: Final answer
    x = 156,411.63

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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.