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Finding the Fourth Proportional to 211,642.84, 292,070.64 and 116,158.44

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Solution

The fourth proportional to 211,642.84, 292,070.64 and 116,158.44 is: 160,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,642.84 : 292,070.64 = 116,158.44 : x
  2. Step 2: Convert to fraction form
    211,642.84/292,070.64 = 116,158.44/x
  3. Step 3: Cross multiply
    211,642.84x = 292,070.64 × 116,158.44
  4. Step 4: Simplify right side
    211,642.84x = 33,926,469,912.20
  5. Step 5: Solve for x
    x = 33,926,469,912.20/211,642.84
  6. Step 6: Final answer
    x = 160,300.58

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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.