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Finding the Fourth Proportional to 259,500.72, 358,106.22 and 146,323.56

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Solution

The fourth proportional to 259,500.72, 358,106.22 and 146,323.56 is: 201,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,500.72 : 358,106.22 = 146,323.56 : x
  2. Step 2: Convert to fraction form
    259,500.72/358,106.22 = 146,323.56/x
  3. Step 3: Cross multiply
    259,500.72x = 358,106.22 × 146,323.56
  4. Step 4: Simplify right side
    259,500.72x = 52,399,376,968.54
  5. Step 5: Solve for x
    x = 52,399,376,968.54/259,500.72
  6. Step 6: Final answer
    x = 201,923.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.