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Finding the Fourth Proportional to 229,231.52, 343,945.84 and 118,501.28

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Solution

The fourth proportional to 229,231.52, 343,945.84 and 118,501.28 is: 177,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,231.52 : 343,945.84 = 118,501.28 : x
  2. Step 2: Convert to fraction form
    229,231.52/343,945.84 = 118,501.28/x
  3. Step 3: Cross multiply
    229,231.52x = 343,945.84 × 118,501.28
  4. Step 4: Simplify right side
    229,231.52x = 40,758,022,290.68
  5. Step 5: Solve for x
    x = 40,758,022,290.68/229,231.52
  6. Step 6: Final answer
    x = 177,802.87

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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.