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Finding the Fourth Proportional to 259,896.42, 358,657.02 and 140,664.42

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Solution

The fourth proportional to 259,896.42, 358,657.02 and 140,664.42 is: 194,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,896.42 : 358,657.02 = 140,664.42 : x
  2. Step 2: Convert to fraction form
    259,896.42/358,657.02 = 140,664.42/x
  3. Step 3: Cross multiply
    259,896.42x = 358,657.02 × 140,664.42
  4. Step 4: Simplify right side
    259,896.42x = 50,450,281,697.23
  5. Step 5: Solve for x
    x = 50,450,281,697.23/259,896.42
  6. Step 6: Final answer
    x = 194,116.88

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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.