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Finding the Fourth Proportional to 276,114.30, 413,879.85 and 157,530.30

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Solution

The fourth proportional to 276,114.30, 413,879.85 and 157,530.30 is: 236,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,114.30 : 413,879.85 = 157,530.30 : x
  2. Step 2: Convert to fraction form
    276,114.30/413,879.85 = 157,530.30/x
  3. Step 3: Cross multiply
    276,114.30x = 413,879.85 × 157,530.30
  4. Step 4: Simplify right side
    276,114.30x = 65,198,616,934.46
  5. Step 5: Solve for x
    x = 65,198,616,934.46/276,114.30
  6. Step 6: Final answer
    x = 236,129.08

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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.