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Finding the Fourth Proportional to 132,041.36, 198,048 and 37,269.20

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Solution

The fourth proportional to 132,041.36, 198,048 and 37,269.20 is: 55,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,041.36 : 198,048 = 37,269.20 : x
  2. Step 2: Convert to fraction form
    132,041.36/198,048 = 37,269.20/x
  3. Step 3: Cross multiply
    132,041.36x = 198,048 × 37,269.20
  4. Step 4: Simplify right side
    132,041.36x = 7,381,090,521.60
  5. Step 5: Solve for x
    x = 7,381,090,521.60/132,041.36
  6. Step 6: Final answer
    x = 55,899.84

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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.