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Finding the Fourth Proportional to 139,158.96, 208,567.36 and 64,175

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Solution

The fourth proportional to 139,158.96, 208,567.36 and 64,175 is: 96,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,158.96 : 208,567.36 = 64,175 : x
  2. Step 2: Convert to fraction form
    139,158.96/208,567.36 = 64,175/x
  3. Step 3: Cross multiply
    139,158.96x = 208,567.36 × 64,175
  4. Step 4: Simplify right side
    139,158.96x = 13,384,810,328
  5. Step 5: Solve for x
    x = 13,384,810,328/139,158.96
  6. Step 6: Final answer
    x = 96,183.60

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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.