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Finding the Fourth Proportional to 211,961.88, 292,514.58 and 116,472

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Solution

The fourth proportional to 211,961.88, 292,514.58 and 116,472 is: 160,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,961.88 : 292,514.58 = 116,472 : x
  2. Step 2: Convert to fraction form
    211,961.88/292,514.58 = 116,472/x
  3. Step 3: Cross multiply
    211,961.88x = 292,514.58 × 116,472
  4. Step 4: Simplify right side
    211,961.88x = 34,069,758,161.76
  5. Step 5: Solve for x
    x = 34,069,758,161.76/211,961.88
  6. Step 6: Final answer
    x = 160,735.31

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