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Finding the Fourth Proportional to 210,791.22, 316,046.38 and 116,066.01

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Solution

The fourth proportional to 210,791.22, 316,046.38 and 116,066.01 is: 174,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.22 : 316,046.38 = 116,066.01 : x
  2. Step 2: Convert to fraction form
    210,791.22/316,046.38 = 116,066.01/x
  3. Step 3: Cross multiply
    210,791.22x = 316,046.38 × 116,066.01
  4. Step 4: Simplify right side
    210,791.22x = 36,682,243,148.81
  5. Step 5: Solve for x
    x = 36,682,243,148.81/210,791.22
  6. Step 6: Final answer
    x = 174,021.69

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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.