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Finding the Fourth Proportional to 192,053.13, 288,079.74 and 65,694.58

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Solution

The fourth proportional to 192,053.13, 288,079.74 and 65,694.58 is: 98,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,053.13 : 288,079.74 = 65,694.58 : x
  2. Step 2: Convert to fraction form
    192,053.13/288,079.74 = 65,694.58/x
  3. Step 3: Cross multiply
    192,053.13x = 288,079.74 × 65,694.58
  4. Step 4: Simplify right side
    192,053.13x = 18,925,276,805.61
  5. Step 5: Solve for x
    x = 18,925,276,805.61/192,053.13
  6. Step 6: Final answer
    x = 98,541.88

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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.