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Finding the Fourth Proportional to 146,889.89, 202,770.05 and 99,207.82

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Solution

The fourth proportional to 146,889.89, 202,770.05 and 99,207.82 is: 136,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,889.89 : 202,770.05 = 99,207.82 : x
  2. Step 2: Convert to fraction form
    146,889.89/202,770.05 = 99,207.82/x
  3. Step 3: Cross multiply
    146,889.89x = 202,770.05 × 99,207.82
  4. Step 4: Simplify right side
    146,889.89x = 20,116,375,689.48
  5. Step 5: Solve for x
    x = 20,116,375,689.48/146,889.89
  6. Step 6: Final answer
    x = 136,948.67

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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.