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Finding the Fourth Proportional to 192,113.56, 288,184.17 and 73,784.89

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Solution

The fourth proportional to 192,113.56, 288,184.17 and 73,784.89 is: 110,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,113.56 : 288,184.17 = 73,784.89 : x
  2. Step 2: Convert to fraction form
    192,113.56/288,184.17 = 73,784.89/x
  3. Step 3: Cross multiply
    192,113.56x = 288,184.17 × 73,784.89
  4. Step 4: Simplify right side
    192,113.56x = 21,263,637,283.19
  5. Step 5: Solve for x
    x = 21,263,637,283.19/192,113.56
  6. Step 6: Final answer
    x = 110,682.65

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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.