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Finding the Fourth Proportional to 188,762, 283,186.80 and 64,103.12

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Solution

The fourth proportional to 188,762, 283,186.80 and 64,103.12 is: 96,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,762 : 283,186.80 = 64,103.12 : x
  2. Step 2: Convert to fraction form
    188,762/283,186.80 = 64,103.12/x
  3. Step 3: Cross multiply
    188,762x = 283,186.80 × 64,103.12
  4. Step 4: Simplify right side
    188,762x = 18,153,157,422.82
  5. Step 5: Solve for x
    x = 18,153,157,422.82/188,762
  6. Step 6: Final answer
    x = 96,169.55

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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.