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Finding the Fourth Proportional to 259,434, 358,018.92 and 140,202

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Solution

The fourth proportional to 259,434, 358,018.92 and 140,202 is: 193,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,434 : 358,018.92 = 140,202 : x
  2. Step 2: Convert to fraction form
    259,434/358,018.92 = 140,202/x
  3. Step 3: Cross multiply
    259,434x = 358,018.92 × 140,202
  4. Step 4: Simplify right side
    259,434x = 50,194,968,621.84
  5. Step 5: Solve for x
    x = 50,194,968,621.84/259,434
  6. Step 6: Final answer
    x = 193,478.76

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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.