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Finding the Fourth Proportional to 259,473, 358,072.74 and 140,241

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Solution

The fourth proportional to 259,473, 358,072.74 and 140,241 is: 193,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,473 : 358,072.74 = 140,241 : x
  2. Step 2: Convert to fraction form
    259,473/358,072.74 = 140,241/x
  3. Step 3: Cross multiply
    259,473x = 358,072.74 × 140,241
  4. Step 4: Simplify right side
    259,473x = 50,216,479,130.34
  5. Step 5: Solve for x
    x = 50,216,479,130.34/259,473
  6. Step 6: Final answer
    x = 193,532.58

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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.