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Finding the Fourth Proportional to 188,620.92, 260,297.94 and 102,580.92

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Solution

The fourth proportional to 188,620.92, 260,297.94 and 102,580.92 is: 141,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,620.92 : 260,297.94 = 102,580.92 : x
  2. Step 2: Convert to fraction form
    188,620.92/260,297.94 = 102,580.92/x
  3. Step 3: Cross multiply
    188,620.92x = 260,297.94 × 102,580.92
  4. Step 4: Simplify right side
    188,620.92x = 26,701,602,159.30
  5. Step 5: Solve for x
    x = 26,701,602,159.30/188,620.92
  6. Step 6: Final answer
    x = 141,562.25

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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.