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Finding the Fourth Proportional to 207,291.78, 310,937.67 and 114,388.02

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Solution

The fourth proportional to 207,291.78, 310,937.67 and 114,388.02 is: 171,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,291.78 : 310,937.67 = 114,388.02 : x
  2. Step 2: Convert to fraction form
    207,291.78/310,937.67 = 114,388.02/x
  3. Step 3: Cross multiply
    207,291.78x = 310,937.67 × 114,388.02
  4. Step 4: Simplify right side
    207,291.78x = 35,567,544,414.71
  5. Step 5: Solve for x
    x = 35,567,544,414.71/207,291.78
  6. Step 6: Final answer
    x = 171,582.03

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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.