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Finding the Fourth Proportional to 223,410.16, 307,988.76 and 177,687.28

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Solution

The fourth proportional to 223,410.16, 307,988.76 and 177,687.28 is: 244,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,410.16 : 307,988.76 = 177,687.28 : x
  2. Step 2: Convert to fraction form
    223,410.16/307,988.76 = 177,687.28/x
  3. Step 3: Cross multiply
    223,410.16x = 307,988.76 × 177,687.28
  4. Step 4: Simplify right side
    223,410.16x = 54,725,685,034.97
  5. Step 5: Solve for x
    x = 54,725,685,034.97/223,410.16
  6. Step 6: Final answer
    x = 244,956.12

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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.