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Finding the Fourth Proportional to 234,924, 324,195.48 and 134,324.16

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Solution

The fourth proportional to 234,924, 324,195.48 and 134,324.16 is: 185,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,924 : 324,195.48 = 134,324.16 : x
  2. Step 2: Convert to fraction form
    234,924/324,195.48 = 134,324.16/x
  3. Step 3: Cross multiply
    234,924x = 324,195.48 × 134,324.16
  4. Step 4: Simplify right side
    234,924x = 43,547,285,526.80
  5. Step 5: Solve for x
    x = 43,547,285,526.80/234,924
  6. Step 6: Final answer
    x = 185,367.55

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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.