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Finding the Fourth Proportional to 188,117.63, 259,602.32 and 103,234.69

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Solution

The fourth proportional to 188,117.63, 259,602.32 and 103,234.69 is: 142,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,117.63 : 259,602.32 = 103,234.69 : x
  2. Step 2: Convert to fraction form
    188,117.63/259,602.32 = 103,234.69/x
  3. Step 3: Cross multiply
    188,117.63x = 259,602.32 × 103,234.69
  4. Step 4: Simplify right side
    188,117.63x = 26,799,964,637.56
  5. Step 5: Solve for x
    x = 26,799,964,637.56/188,117.63
  6. Step 6: Final answer
    x = 142,463.87

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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.