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Finding the Fourth Proportional to 211,009.50, 316,592.01 and 111,165.66

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Solution

The fourth proportional to 211,009.50, 316,592.01 and 111,165.66 is: 166,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,009.50 : 316,592.01 = 111,165.66 : x
  2. Step 2: Convert to fraction form
    211,009.50/316,592.01 = 111,165.66/x
  3. Step 3: Cross multiply
    211,009.50x = 316,592.01 × 111,165.66
  4. Step 4: Simplify right side
    211,009.50x = 35,194,159,742.38
  5. Step 5: Solve for x
    x = 35,194,159,742.38/211,009.50
  6. Step 6: Final answer
    x = 166,789.46

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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.