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Finding the Fourth Proportional to 188,726.50, 260,435.16 and 108,096.64

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Solution

The fourth proportional to 188,726.50, 260,435.16 and 108,096.64 is: 149,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,726.50 : 260,435.16 = 108,096.64 : x
  2. Step 2: Convert to fraction form
    188,726.50/260,435.16 = 108,096.64/x
  3. Step 3: Cross multiply
    188,726.50x = 260,435.16 × 108,096.64
  4. Step 4: Simplify right side
    188,726.50x = 28,152,165,733.86
  5. Step 5: Solve for x
    x = 28,152,165,733.86/188,726.50
  6. Step 6: Final answer
    x = 149,169.12

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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.