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Finding the Fourth Proportional to 231,705.86, 347,564.87 and 73,934.16

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Solution

The fourth proportional to 231,705.86, 347,564.87 and 73,934.16 is: 110,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,705.86 : 347,564.87 = 73,934.16 : x
  2. Step 2: Convert to fraction form
    231,705.86/347,564.87 = 73,934.16/x
  3. Step 3: Cross multiply
    231,705.86x = 347,564.87 × 73,934.16
  4. Step 4: Simplify right side
    231,705.86x = 25,696,916,339.29
  5. Step 5: Solve for x
    x = 25,696,916,339.29/231,705.86
  6. Step 6: Final answer
    x = 110,903.18

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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.