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Finding the Fourth Proportional to 211,573.38, 291,961.44 and 116,077.98

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Solution

The fourth proportional to 211,573.38, 291,961.44 and 116,077.98 is: 160,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,573.38 : 291,961.44 = 116,077.98 : x
  2. Step 2: Convert to fraction form
    211,573.38/291,961.44 = 116,077.98/x
  3. Step 3: Cross multiply
    211,573.38x = 291,961.44 × 116,077.98
  4. Step 4: Simplify right side
    211,573.38x = 33,890,294,193.09
  5. Step 5: Solve for x
    x = 33,890,294,193.09/211,573.38
  6. Step 6: Final answer
    x = 160,182.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.