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Finding the Fourth Proportional to 223,405.56, 308,323.98 and 127,943.64

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Solution

The fourth proportional to 223,405.56, 308,323.98 and 127,943.64 is: 176,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,405.56 : 308,323.98 = 127,943.64 : x
  2. Step 2: Convert to fraction form
    223,405.56/308,323.98 = 127,943.64/x
  3. Step 3: Cross multiply
    223,405.56x = 308,323.98 × 127,943.64
  4. Step 4: Simplify right side
    223,405.56x = 39,448,092,300.49
  5. Step 5: Solve for x
    x = 39,448,092,300.49/223,405.56
  6. Step 6: Final answer
    x = 176,576.14

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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.