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Finding the Fourth Proportional to 211,164.66, 316,793.70 and 116,346.02

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Solution

The fourth proportional to 211,164.66, 316,793.70 and 116,346.02 is: 174,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164.66 : 316,793.70 = 116,346.02 : x
  2. Step 2: Convert to fraction form
    211,164.66/316,793.70 = 116,346.02/x
  3. Step 3: Cross multiply
    211,164.66x = 316,793.70 × 116,346.02
  4. Step 4: Simplify right side
    211,164.66x = 36,857,684,572.11
  5. Step 5: Solve for x
    x = 36,857,684,572.11/211,164.66
  6. Step 6: Final answer
    x = 174,544.76

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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.