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Finding the Fourth Proportional to 259,661, 358,325.70 and 146,474.84

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Solution

The fourth proportional to 259,661, 358,325.70 and 146,474.84 is: 202,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,661 : 358,325.70 = 146,474.84 : x
  2. Step 2: Convert to fraction form
    259,661/358,325.70 = 146,474.84/x
  3. Step 3: Cross multiply
    259,661x = 358,325.70 × 146,474.84
  4. Step 4: Simplify right side
    259,661x = 52,485,699,575.39
  5. Step 5: Solve for x
    x = 52,485,699,575.39/259,661
  6. Step 6: Final answer
    x = 202,131.62

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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.