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Finding the Fourth Proportional to 259,793.92, 358,477.16 and 157,766.32

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Solution

The fourth proportional to 259,793.92, 358,477.16 and 157,766.32 is: 217,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,793.92 : 358,477.16 = 157,766.32 : x
  2. Step 2: Convert to fraction form
    259,793.92/358,477.16 = 157,766.32/x
  3. Step 3: Cross multiply
    259,793.92x = 358,477.16 × 157,766.32
  4. Step 4: Simplify right side
    259,793.92x = 56,555,622,337.25
  5. Step 5: Solve for x
    x = 56,555,622,337.25/259,793.92
  6. Step 6: Final answer
    x = 217,694.17

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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.