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Finding the Fourth Proportional to 141,008, 211,517.76 and 35,829.68

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Solution

The fourth proportional to 141,008, 211,517.76 and 35,829.68 is: 53,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,008 : 211,517.76 = 35,829.68 : x
  2. Step 2: Convert to fraction form
    141,008/211,517.76 = 35,829.68/x
  3. Step 3: Cross multiply
    141,008x = 211,517.76 × 35,829.68
  4. Step 4: Simplify right side
    141,008x = 7,578,613,655.12
  5. Step 5: Solve for x
    x = 7,578,613,655.12/141,008
  6. Step 6: Final answer
    x = 53,745.98

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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.