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Finding the Fourth Proportional to 131,184, 196,809.21 and 37,689.75

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Solution

The fourth proportional to 131,184, 196,809.21 and 37,689.75 is: 56,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 196,809.21 = 37,689.75 : x
  2. Step 2: Convert to fraction form
    131,184/196,809.21 = 37,689.75/x
  3. Step 3: Cross multiply
    131,184x = 196,809.21 × 37,689.75
  4. Step 4: Simplify right side
    131,184x = 7,417,689,922.60
  5. Step 5: Solve for x
    x = 7,417,689,922.60/131,184
  6. Step 6: Final answer
    x = 56,544.17

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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.