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Finding the Fourth Proportional to 257,109.69, 354,811.37 and 156,507.69

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Solution

The fourth proportional to 257,109.69, 354,811.37 and 156,507.69 is: 215,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,109.69 : 354,811.37 = 156,507.69 : x
  2. Step 2: Convert to fraction form
    257,109.69/354,811.37 = 156,507.69/x
  3. Step 3: Cross multiply
    257,109.69x = 354,811.37 × 156,507.69
  4. Step 4: Simplify right side
    257,109.69x = 55,530,707,904.44
  5. Step 5: Solve for x
    x = 55,530,707,904.44/257,109.69
  6. Step 6: Final answer
    x = 215,980.61

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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.