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Finding the Fourth Proportional to 259,416, 357,994.08 and 140,184

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Solution

The fourth proportional to 259,416, 357,994.08 and 140,184 is: 193,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416 : 357,994.08 = 140,184 : x
  2. Step 2: Convert to fraction form
    259,416/357,994.08 = 140,184/x
  3. Step 3: Cross multiply
    259,416x = 357,994.08 × 140,184
  4. Step 4: Simplify right side
    259,416x = 50,185,042,110.72
  5. Step 5: Solve for x
    x = 50,185,042,110.72/259,416
  6. Step 6: Final answer
    x = 193,453.92

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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.