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Finding the Fourth Proportional to 188,091.14, 259,565.74 and 107,520.40

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Solution

The fourth proportional to 188,091.14, 259,565.74 and 107,520.40 is: 148,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,091.14 : 259,565.74 = 107,520.40 : x
  2. Step 2: Convert to fraction form
    188,091.14/259,565.74 = 107,520.40/x
  3. Step 3: Cross multiply
    188,091.14x = 259,565.74 × 107,520.40
  4. Step 4: Simplify right side
    188,091.14x = 27,908,611,273.38
  5. Step 5: Solve for x
    x = 27,908,611,273.38/188,091.14
  6. Step 6: Final answer
    x = 148,378.13

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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.