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Finding the Fourth Proportional to 234,504.86, 351,582.32 and 109,816.70

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Solution

The fourth proportional to 234,504.86, 351,582.32 and 109,816.70 is: 164,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,504.86 : 351,582.32 = 109,816.70 : x
  2. Step 2: Convert to fraction form
    234,504.86/351,582.32 = 109,816.70/x
  3. Step 3: Cross multiply
    234,504.86x = 351,582.32 × 109,816.70
  4. Step 4: Simplify right side
    234,504.86x = 38,609,608,677.37
  5. Step 5: Solve for x
    x = 38,609,608,677.37/234,504.86
  6. Step 6: Final answer
    x = 164,643.11

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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.