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Finding the Fourth Proportional to 186,722.87, 280,208.84 and 96,848.42

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Solution

The fourth proportional to 186,722.87, 280,208.84 and 96,848.42 is: 145,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,722.87 : 280,208.84 = 96,848.42 : x
  2. Step 2: Convert to fraction form
    186,722.87/280,208.84 = 96,848.42/x
  3. Step 3: Cross multiply
    186,722.87x = 280,208.84 × 96,848.42
  4. Step 4: Simplify right side
    186,722.87x = 27,137,781,538.75
  5. Step 5: Solve for x
    x = 27,137,781,538.75/186,722.87
  6. Step 6: Final answer
    x = 145,337.22

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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.