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Finding the Fourth Proportional to 188,165.76, 259,659.52 and 103,281.28

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Solution

The fourth proportional to 188,165.76, 259,659.52 and 103,281.28 is: 142,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,165.76 : 259,659.52 = 103,281.28 : x
  2. Step 2: Convert to fraction form
    188,165.76/259,659.52 = 103,281.28/x
  3. Step 3: Cross multiply
    188,165.76x = 259,659.52 × 103,281.28
  4. Step 4: Simplify right side
    188,165.76x = 26,817,967,589.79
  5. Step 5: Solve for x
    x = 26,817,967,589.79/188,165.76
  6. Step 6: Final answer
    x = 142,523.10

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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.