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Finding the Fourth Proportional to 159,206.64, 238,801.32 and 48,390

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Solution

The fourth proportional to 159,206.64, 238,801.32 and 48,390 is: 72,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206.64 : 238,801.32 = 48,390 : x
  2. Step 2: Convert to fraction form
    159,206.64/238,801.32 = 48,390/x
  3. Step 3: Cross multiply
    159,206.64x = 238,801.32 × 48,390
  4. Step 4: Simplify right side
    159,206.64x = 11,555,595,874.80
  5. Step 5: Solve for x
    x = 11,555,595,874.80/159,206.64
  6. Step 6: Final answer
    x = 72,582.37

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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.