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Finding the Fourth Proportional to 132,378.10, 198,566.84 and 57,488.54

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Solution

The fourth proportional to 132,378.10, 198,566.84 and 57,488.54 is: 86,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.10 : 198,566.84 = 57,488.54 : x
  2. Step 2: Convert to fraction form
    132,378.10/198,566.84 = 57,488.54/x
  3. Step 3: Cross multiply
    132,378.10x = 198,566.84 × 57,488.54
  4. Step 4: Simplify right side
    132,378.10x = 11,415,316,874.90
  5. Step 5: Solve for x
    x = 11,415,316,874.90/132,378.10
  6. Step 6: Final answer
    x = 86,232.67

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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.