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Finding the Fourth Proportional to 192,742.74, 289,079.28 and 52,468.56

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Solution

The fourth proportional to 192,742.74, 289,079.28 and 52,468.56 is: 78,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,742.74 : 289,079.28 = 52,468.56 : x
  2. Step 2: Convert to fraction form
    192,742.74/289,079.28 = 52,468.56/x
  3. Step 3: Cross multiply
    192,742.74x = 289,079.28 × 52,468.56
  4. Step 4: Simplify right side
    192,742.74x = 15,167,573,547.44
  5. Step 5: Solve for x
    x = 15,167,573,547.44/192,742.74
  6. Step 6: Final answer
    x = 78,693.36

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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.