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Finding the Fourth Proportional to 105,468.16, 158,221.68 and 85,918

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Solution

The fourth proportional to 105,468.16, 158,221.68 and 85,918 is: 128,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468.16 : 158,221.68 = 85,918 : x
  2. Step 2: Convert to fraction form
    105,468.16/158,221.68 = 85,918/x
  3. Step 3: Cross multiply
    105,468.16x = 158,221.68 × 85,918
  4. Step 4: Simplify right side
    105,468.16x = 13,594,090,302.24
  5. Step 5: Solve for x
    x = 13,594,090,302.24/105,468.16
  6. Step 6: Final answer
    x = 128,892.84

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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.