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Finding the Fourth Proportional to 257,086.09, 385,538.82 and 77,117.86

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Solution

The fourth proportional to 257,086.09, 385,538.82 and 77,117.86 is: 115,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,086.09 : 385,538.82 = 77,117.86 : x
  2. Step 2: Convert to fraction form
    257,086.09/385,538.82 = 77,117.86/x
  3. Step 3: Cross multiply
    257,086.09x = 385,538.82 × 77,117.86
  4. Step 4: Simplify right side
    257,086.09x = 29,731,928,745.33
  5. Step 5: Solve for x
    x = 29,731,928,745.33/257,086.09
  6. Step 6: Final answer
    x = 115,649.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.