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Finding the Fourth Proportional to 223,058.54, 307,821.62 and 121,084.20

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Solution

The fourth proportional to 223,058.54, 307,821.62 and 121,084.20 is: 167,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,058.54 : 307,821.62 = 121,084.20 : x
  2. Step 2: Convert to fraction form
    223,058.54/307,821.62 = 121,084.20/x
  3. Step 3: Cross multiply
    223,058.54x = 307,821.62 × 121,084.20
  4. Step 4: Simplify right side
    223,058.54x = 37,272,334,600.40
  5. Step 5: Solve for x
    x = 37,272,334,600.40/223,058.54
  6. Step 6: Final answer
    x = 167,096.65

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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.