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Finding the Fourth Proportional to 208,523.81, 312,543.72 and 95,967.69

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Solution

The fourth proportional to 208,523.81, 312,543.72 and 95,967.69 is: 143,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.81 : 312,543.72 = 95,967.69 : x
  2. Step 2: Convert to fraction form
    208,523.81/312,543.72 = 95,967.69/x
  3. Step 3: Cross multiply
    208,523.81x = 312,543.72 × 95,967.69
  4. Step 4: Simplify right side
    208,523.81x = 29,994,098,832.41
  5. Step 5: Solve for x
    x = 29,994,098,832.41/208,523.81
  6. Step 6: Final answer
    x = 143,840.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.