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Finding the Fourth Proportional to 97,223.88, 134,168.15 and 54,202.88

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Solution

The fourth proportional to 97,223.88, 134,168.15 and 54,202.88 is: 74,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.88 : 134,168.15 = 54,202.88 : x
  2. Step 2: Convert to fraction form
    97,223.88/134,168.15 = 54,202.88/x
  3. Step 3: Cross multiply
    97,223.88x = 134,168.15 × 54,202.88
  4. Step 4: Simplify right side
    97,223.88x = 7,272,299,192.42
  5. Step 5: Solve for x
    x = 7,272,299,192.42/97,223.88
  6. Step 6: Final answer
    x = 74,799.52

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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.