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Finding the Fourth Proportional to 117,590.86, 162,342.70 and 77,421.39

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Solution

The fourth proportional to 117,590.86, 162,342.70 and 77,421.39 is: 106,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,590.86 : 162,342.70 = 77,421.39 : x
  2. Step 2: Convert to fraction form
    117,590.86/162,342.70 = 77,421.39/x
  3. Step 3: Cross multiply
    117,590.86x = 162,342.70 × 77,421.39
  4. Step 4: Simplify right side
    117,590.86x = 12,568,797,354.56
  5. Step 5: Solve for x
    x = 12,568,797,354.56/117,590.86
  6. Step 6: Final answer
    x = 106,885.84

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