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Finding the Fourth Proportional to 211,165.66, 316,795.20 and 116,347.02

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Solution

The fourth proportional to 211,165.66, 316,795.20 and 116,347.02 is: 174,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,165.66 : 316,795.20 = 116,347.02 : x
  2. Step 2: Convert to fraction form
    211,165.66/316,795.20 = 116,347.02/x
  3. Step 3: Cross multiply
    211,165.66x = 316,795.20 × 116,347.02
  4. Step 4: Simplify right side
    211,165.66x = 36,858,177,470.30
  5. Step 5: Solve for x
    x = 36,858,177,470.30/211,165.66
  6. Step 6: Final answer
    x = 174,546.27

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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.