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Finding the Fourth Proportional to 512,114.10, 768,207.60 and 157,127.55

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Solution

The fourth proportional to 512,114.10, 768,207.60 and 157,127.55 is: 235,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,114.10 : 768,207.60 = 157,127.55 : x
  2. Step 2: Convert to fraction form
    512,114.10/768,207.60 = 157,127.55/x
  3. Step 3: Cross multiply
    512,114.10x = 768,207.60 × 157,127.55
  4. Step 4: Simplify right side
    512,114.10x = 120,706,578,079.38
  5. Step 5: Solve for x
    x = 120,706,578,079.38/512,114.10
  6. Step 6: Final answer
    x = 235,702.51

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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.