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Finding the Fourth Proportional to 132,764.40, 199,146.78 and 101,352.80

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Solution

The fourth proportional to 132,764.40, 199,146.78 and 101,352.80 is: 152,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,764.40 : 199,146.78 = 101,352.80 : x
  2. Step 2: Convert to fraction form
    132,764.40/199,146.78 = 101,352.80/x
  3. Step 3: Cross multiply
    132,764.40x = 199,146.78 × 101,352.80
  4. Step 4: Simplify right side
    132,764.40x = 20,184,083,763.98
  5. Step 5: Solve for x
    x = 20,184,083,763.98/132,764.40
  6. Step 6: Final answer
    x = 152,029.34

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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.