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Finding the Fourth Proportional to 186,796.84, 280,165.18 and 53,646.82

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Solution

The fourth proportional to 186,796.84, 280,165.18 and 53,646.82 is: 80,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796.84 : 280,165.18 = 53,646.82 : x
  2. Step 2: Convert to fraction form
    186,796.84/280,165.18 = 53,646.82/x
  3. Step 3: Cross multiply
    186,796.84x = 280,165.18 × 53,646.82
  4. Step 4: Simplify right side
    186,796.84x = 15,029,970,981.73
  5. Step 5: Solve for x
    x = 15,029,970,981.73/186,796.84
  6. Step 6: Final answer
    x = 80,461.59

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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.