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Finding the Fourth Proportional to 222,094.98, 306,420.71 and 135,963.90

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Solution

The fourth proportional to 222,094.98, 306,420.71 and 135,963.90 is: 187,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,094.98 : 306,420.71 = 135,963.90 : x
  2. Step 2: Convert to fraction form
    222,094.98/306,420.71 = 135,963.90/x
  3. Step 3: Cross multiply
    222,094.98x = 306,420.71 × 135,963.90
  4. Step 4: Simplify right side
    222,094.98x = 41,662,154,092.55
  5. Step 5: Solve for x
    x = 41,662,154,092.55/222,094.98
  6. Step 6: Final answer
    x = 187,587.10

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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.