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Finding the Fourth Proportional to 140,465.54, 210,324.13 and 109,764.50

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Solution

The fourth proportional to 140,465.54, 210,324.13 and 109,764.50 is: 164,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,465.54 : 210,324.13 = 109,764.50 : x
  2. Step 2: Convert to fraction form
    140,465.54/210,324.13 = 109,764.50/x
  3. Step 3: Cross multiply
    140,465.54x = 210,324.13 × 109,764.50
  4. Step 4: Simplify right side
    140,465.54x = 23,086,124,174.80
  5. Step 5: Solve for x
    x = 23,086,124,174.80/140,465.54
  6. Step 6: Final answer
    x = 164,354.36

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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.