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Finding the Fourth Proportional to 209,514.75, 289,124.82 and 114,019.40

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Solution

The fourth proportional to 209,514.75, 289,124.82 and 114,019.40 is: 157,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,514.75 : 289,124.82 = 114,019.40 : x
  2. Step 2: Convert to fraction form
    209,514.75/289,124.82 = 114,019.40/x
  3. Step 3: Cross multiply
    209,514.75x = 289,124.82 × 114,019.40
  4. Step 4: Simplify right side
    209,514.75x = 32,965,837,277.31
  5. Step 5: Solve for x
    x = 32,965,837,277.31/209,514.75
  6. Step 6: Final answer
    x = 157,343.75

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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.