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Finding the Fourth Proportional to 153,869.97, 212,351.24 and 85,900.30

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Solution

The fourth proportional to 153,869.97, 212,351.24 and 85,900.30 is: 118,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,869.97 : 212,351.24 = 85,900.30 : x
  2. Step 2: Convert to fraction form
    153,869.97/212,351.24 = 85,900.30/x
  3. Step 3: Cross multiply
    153,869.97x = 212,351.24 × 85,900.30
  4. Step 4: Simplify right side
    153,869.97x = 18,241,035,221.37
  5. Step 5: Solve for x
    x = 18,241,035,221.37/153,869.97
  6. Step 6: Final answer
    x = 118,548.38

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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.