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Finding the Fourth Proportional to 188,507.68, 260,142.44 and 102,466.62

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Solution

The fourth proportional to 188,507.68, 260,142.44 and 102,466.62 is: 141,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,507.68 : 260,142.44 = 102,466.62 : x
  2. Step 2: Convert to fraction form
    188,507.68/260,142.44 = 102,466.62/x
  3. Step 3: Cross multiply
    188,507.68x = 260,142.44 × 102,466.62
  4. Step 4: Simplify right side
    188,507.68x = 26,655,916,545.35
  5. Step 5: Solve for x
    x = 26,655,916,545.35/188,507.68
  6. Step 6: Final answer
    x = 141,404.94

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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.