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Finding the Fourth Proportional to 131,582.84, 197,393.72 and 38,076.44

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Solution

The fourth proportional to 131,582.84, 197,393.72 and 38,076.44 is: 57,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,582.84 : 197,393.72 = 38,076.44 : x
  2. Step 2: Convert to fraction form
    131,582.84/197,393.72 = 38,076.44/x
  3. Step 3: Cross multiply
    131,582.84x = 197,393.72 × 38,076.44
  4. Step 4: Simplify right side
    131,582.84x = 7,516,050,135.96
  5. Step 5: Solve for x
    x = 7,516,050,135.96/131,582.84
  6. Step 6: Final answer
    x = 57,120.29

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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.