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Finding the Fourth Proportional to 153,165.89, 229,748.94 and 47,993.06

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Solution

The fourth proportional to 153,165.89, 229,748.94 and 47,993.06 is: 71,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.89 : 229,748.94 = 47,993.06 : x
  2. Step 2: Convert to fraction form
    153,165.89/229,748.94 = 47,993.06/x
  3. Step 3: Cross multiply
    153,165.89x = 229,748.94 × 47,993.06
  4. Step 4: Simplify right side
    153,165.89x = 11,026,355,236.73
  5. Step 5: Solve for x
    x = 11,026,355,236.73/153,165.89
  6. Step 6: Final answer
    x = 71,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.