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Finding the Fourth Proportional to 223,235, 308,069.86 and 121,260.43

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Solution

The fourth proportional to 223,235, 308,069.86 and 121,260.43 is: 167,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,235 : 308,069.86 = 121,260.43 : x
  2. Step 2: Convert to fraction form
    223,235/308,069.86 = 121,260.43/x
  3. Step 3: Cross multiply
    223,235x = 308,069.86 × 121,260.43
  4. Step 4: Simplify right side
    223,235x = 37,356,683,693.64
  5. Step 5: Solve for x
    x = 37,356,683,693.64/223,235
  6. Step 6: Final answer
    x = 167,342.41

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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.