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Finding the Fourth Proportional to 120,191.82, 165,714.04 and 77,095.38

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Solution

The fourth proportional to 120,191.82, 165,714.04 and 77,095.38 is: 106,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,191.82 : 165,714.04 = 77,095.38 : x
  2. Step 2: Convert to fraction form
    120,191.82/165,714.04 = 77,095.38/x
  3. Step 3: Cross multiply
    120,191.82x = 165,714.04 × 77,095.38
  4. Step 4: Simplify right side
    120,191.82x = 12,775,786,885.14
  5. Step 5: Solve for x
    x = 12,775,786,885.14/120,191.82
  6. Step 6: Final answer
    x = 106,294.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.