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Finding the Fourth Proportional to 114,514.65, 158,012.96 and 65,452.73

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Solution

The fourth proportional to 114,514.65, 158,012.96 and 65,452.73 is: 90,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514.65 : 158,012.96 = 65,452.73 : x
  2. Step 2: Convert to fraction form
    114,514.65/158,012.96 = 65,452.73/x
  3. Step 3: Cross multiply
    114,514.65x = 158,012.96 × 65,452.73
  4. Step 4: Simplify right side
    114,514.65x = 10,342,378,490.05
  5. Step 5: Solve for x
    x = 10,342,378,490.05/114,514.65
  6. Step 6: Final answer
    x = 90,314.89

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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.