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Finding the Fourth Proportional to 259,894.08, 358,653.96 and 140,662.08

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Solution

The fourth proportional to 259,894.08, 358,653.96 and 140,662.08 is: 194,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,894.08 : 358,653.96 = 140,662.08 : x
  2. Step 2: Convert to fraction form
    259,894.08/358,653.96 = 140,662.08/x
  3. Step 3: Cross multiply
    259,894.08x = 358,653.96 × 140,662.08
  4. Step 4: Simplify right side
    259,894.08x = 50,449,012,013.84
  5. Step 5: Solve for x
    x = 50,449,012,013.84/259,894.08
  6. Step 6: Final answer
    x = 194,113.74

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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.