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Finding the Fourth Proportional to 207,234.76, 285,983.46 and 116,590.78

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Solution

The fourth proportional to 207,234.76, 285,983.46 and 116,590.78 is: 160,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.76 : 285,983.46 = 116,590.78 : x
  2. Step 2: Convert to fraction form
    207,234.76/285,983.46 = 116,590.78/x
  3. Step 3: Cross multiply
    207,234.76x = 285,983.46 × 116,590.78
  4. Step 4: Simplify right side
    207,234.76x = 33,343,034,668.50
  5. Step 5: Solve for x
    x = 33,343,034,668.50/207,234.76
  6. Step 6: Final answer
    x = 160,894.99

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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.