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Finding the Fourth Proportional to 512,082.20, 768,123.30 and 157,095.65

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Solution

The fourth proportional to 512,082.20, 768,123.30 and 157,095.65 is: 235,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,082.20 : 768,123.30 = 157,095.65 : x
  2. Step 2: Convert to fraction form
    512,082.20/768,123.30 = 157,095.65/x
  3. Step 3: Cross multiply
    512,082.20x = 768,123.30 × 157,095.65
  4. Step 4: Simplify right side
    512,082.20x = 120,668,829,093.65
  5. Step 5: Solve for x
    x = 120,668,829,093.65/512,082.20
  6. Step 6: Final answer
    x = 235,643.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.