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Finding the Fourth Proportional to 206,514.80, 309,772.20 and 112,036.40

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Solution

The fourth proportional to 206,514.80, 309,772.20 and 112,036.40 is: 168,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.80 : 309,772.20 = 112,036.40 : x
  2. Step 2: Convert to fraction form
    206,514.80/309,772.20 = 112,036.40/x
  3. Step 3: Cross multiply
    206,514.80x = 309,772.20 × 112,036.40
  4. Step 4: Simplify right side
    206,514.80x = 34,705,762,108.08
  5. Step 5: Solve for x
    x = 34,705,762,108.08/206,514.80
  6. Step 6: Final answer
    x = 168,054.60

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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.