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Finding the Fourth Proportional to 127,930, 191,645.64 and 77,885.96

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Solution

The fourth proportional to 127,930, 191,645.64 and 77,885.96 is: 116,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,930 : 191,645.64 = 77,885.96 : x
  2. Step 2: Convert to fraction form
    127,930/191,645.64 = 77,885.96/x
  3. Step 3: Cross multiply
    127,930x = 191,645.64 × 77,885.96
  4. Step 4: Simplify right side
    127,930x = 14,926,504,651.21
  5. Step 5: Solve for x
    x = 14,926,504,651.21/127,930
  6. Step 6: Final answer
    x = 116,677.13

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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.