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Finding the Fourth Proportional to 188,313.14, 259,869.70 and 103,424.74

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Solution

The fourth proportional to 188,313.14, 259,869.70 and 103,424.74 is: 142,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,313.14 : 259,869.70 = 103,424.74 : x
  2. Step 2: Convert to fraction form
    188,313.14/259,869.70 = 103,424.74/x
  3. Step 3: Cross multiply
    188,313.14x = 259,869.70 × 103,424.74
  4. Step 4: Simplify right side
    188,313.14x = 26,876,956,156.38
  5. Step 5: Solve for x
    x = 26,876,956,156.38/188,313.14
  6. Step 6: Final answer
    x = 142,724.80

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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.