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Finding the Fourth Proportional to 209,565.86, 289,207.41 and 114,078.92

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Solution

The fourth proportional to 209,565.86, 289,207.41 and 114,078.92 is: 157,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.86 : 289,207.41 = 114,078.92 : x
  2. Step 2: Convert to fraction form
    209,565.86/289,207.41 = 114,078.92/x
  3. Step 3: Cross multiply
    209,565.86x = 289,207.41 × 114,078.92
  4. Step 4: Simplify right side
    209,565.86x = 32,992,468,988.80
  5. Step 5: Solve for x
    x = 32,992,468,988.80/209,565.86
  6. Step 6: Final answer
    x = 157,432.46

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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.