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Finding the Fourth Proportional to 108,191, 162,145.12 and 78,305.88

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Solution

The fourth proportional to 108,191, 162,145.12 and 78,305.88 is: 117,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,191 : 162,145.12 = 78,305.88 : x
  2. Step 2: Convert to fraction form
    108,191/162,145.12 = 78,305.88/x
  3. Step 3: Cross multiply
    108,191x = 162,145.12 × 78,305.88
  4. Step 4: Simplify right side
    108,191x = 12,696,916,309.31
  5. Step 5: Solve for x
    x = 12,696,916,309.31/108,191
  6. Step 6: Final answer
    x = 117,356.49

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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.