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Finding the Fourth Proportional to 223,797.18, 308,846.56 and 121,829.24

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Solution

The fourth proportional to 223,797.18, 308,846.56 and 121,829.24 is: 168,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,797.18 : 308,846.56 = 121,829.24 : x
  2. Step 2: Convert to fraction form
    223,797.18/308,846.56 = 121,829.24/x
  3. Step 3: Cross multiply
    223,797.18x = 308,846.56 × 121,829.24
  4. Step 4: Simplify right side
    223,797.18x = 37,626,541,681.41
  5. Step 5: Solve for x
    x = 37,626,541,681.41/223,797.18
  6. Step 6: Final answer
    x = 168,127.86

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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.