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Finding the Fourth Proportional to 211,642.64, 292,060.24 and 116,146.88

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Solution

The fourth proportional to 211,642.64, 292,060.24 and 116,146.88 is: 160,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,642.64 : 292,060.24 = 116,146.88 : x
  2. Step 2: Convert to fraction form
    211,642.64/292,060.24 = 116,146.88/x
  3. Step 3: Cross multiply
    211,642.64x = 292,060.24 × 116,146.88
  4. Step 4: Simplify right side
    211,642.64x = 33,921,885,648.05
  5. Step 5: Solve for x
    x = 33,921,885,648.05/211,642.64
  6. Step 6: Final answer
    x = 160,279.07

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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.