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Finding the Fourth Proportional to 234,504.48, 351,581.76 and 109,816.32

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Solution

The fourth proportional to 234,504.48, 351,581.76 and 109,816.32 is: 164,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,504.48 : 351,581.76 = 109,816.32 : x
  2. Step 2: Convert to fraction form
    234,504.48/351,581.76 = 109,816.32/x
  3. Step 3: Cross multiply
    234,504.48x = 351,581.76 × 109,816.32
  4. Step 4: Simplify right side
    234,504.48x = 38,609,415,062.32
  5. Step 5: Solve for x
    x = 38,609,415,062.32/234,504.48
  6. Step 6: Final answer
    x = 164,642.55

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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.