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Finding the Fourth Proportional to 136,297.38, 188,088.90 and 75,867.06

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Solution

The fourth proportional to 136,297.38, 188,088.90 and 75,867.06 is: 104,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,297.38 : 188,088.90 = 75,867.06 : x
  2. Step 2: Convert to fraction form
    136,297.38/188,088.90 = 75,867.06/x
  3. Step 3: Cross multiply
    136,297.38x = 188,088.90 × 75,867.06
  4. Step 4: Simplify right side
    136,297.38x = 14,269,751,861.63
  5. Step 5: Solve for x
    x = 14,269,751,861.63/136,297.38
  6. Step 6: Final answer
    x = 104,695.72

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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.