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Finding the Fourth Proportional to 207,044.10, 285,714.24 and 116,403.90

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Solution

The fourth proportional to 207,044.10, 285,714.24 and 116,403.90 is: 160,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,044.10 : 285,714.24 = 116,403.90 : x
  2. Step 2: Convert to fraction form
    207,044.10/285,714.24 = 116,403.90/x
  3. Step 3: Cross multiply
    207,044.10x = 285,714.24 × 116,403.90
  4. Step 4: Simplify right side
    207,044.10x = 33,258,251,821.54
  5. Step 5: Solve for x
    x = 33,258,251,821.54/207,044.10
  6. Step 6: Final answer
    x = 160,633.66

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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.