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Finding the Fourth Proportional to 188,739, 260,461.68 and 103,857.90

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Solution

The fourth proportional to 188,739, 260,461.68 and 103,857.90 is: 143,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,739 : 260,461.68 = 103,857.90 : x
  2. Step 2: Convert to fraction form
    188,739/260,461.68 = 103,857.90/x
  3. Step 3: Cross multiply
    188,739x = 260,461.68 × 103,857.90
  4. Step 4: Simplify right side
    188,739x = 27,051,003,115.27
  5. Step 5: Solve for x
    x = 27,051,003,115.27/188,739
  6. Step 6: Final answer
    x = 143,324.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.