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Finding the Fourth Proportional to 223,934, 309,032.32 and 121,964.24

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Solution

The fourth proportional to 223,934, 309,032.32 and 121,964.24 is: 168,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,934 : 309,032.32 = 121,964.24 : x
  2. Step 2: Convert to fraction form
    223,934/309,032.32 = 121,964.24/x
  3. Step 3: Cross multiply
    223,934x = 309,032.32 × 121,964.24
  4. Step 4: Simplify right side
    223,934x = 37,690,892,044.24
  5. Step 5: Solve for x
    x = 37,690,892,044.24/223,934
  6. Step 6: Final answer
    x = 168,312.50

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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.