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Finding the Fourth Proportional to 188,885.16, 260,662.14 and 102,845.16

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Solution

The fourth proportional to 188,885.16, 260,662.14 and 102,845.16 is: 141,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,885.16 : 260,662.14 = 102,845.16 : x
  2. Step 2: Convert to fraction form
    188,885.16/260,662.14 = 102,845.16/x
  3. Step 3: Cross multiply
    188,885.16x = 260,662.14 × 102,845.16
  4. Step 4: Simplify right side
    188,885.16x = 26,807,839,494.24
  5. Step 5: Solve for x
    x = 26,807,839,494.24/188,885.16
  6. Step 6: Final answer
    x = 141,926.66

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Why These Related Problems?

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