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Finding the Fourth Proportional to 259,458.92, 358,039.41 and 146,274.38

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Solution

The fourth proportional to 259,458.92, 358,039.41 and 146,274.38 is: 201,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,458.92 : 358,039.41 = 146,274.38 : x
  2. Step 2: Convert to fraction form
    259,458.92/358,039.41 = 146,274.38/x
  3. Step 3: Cross multiply
    259,458.92x = 358,039.41 × 146,274.38
  4. Step 4: Simplify right side
    259,458.92x = 52,371,992,713.32
  5. Step 5: Solve for x
    x = 52,371,992,713.32/259,458.92
  6. Step 6: Final answer
    x = 201,850.81

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1.5x scale

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.