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Finding the Fourth Proportional to 208,984.98, 288,487.57 and 141,093.92

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Solution

The fourth proportional to 208,984.98, 288,487.57 and 141,093.92 is: 194,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.98 : 288,487.57 = 141,093.92 : x
  2. Step 2: Convert to fraction form
    208,984.98/288,487.57 = 141,093.92/x
  3. Step 3: Cross multiply
    208,984.98x = 288,487.57 × 141,093.92
  4. Step 4: Simplify right side
    208,984.98x = 40,703,842,491.06
  5. Step 5: Solve for x
    x = 40,703,842,491.06/208,984.98
  6. Step 6: Final answer
    x = 194,769.22

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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.