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Finding the Fourth Proportional to 213,492.42, 294,634.80 and 117,997.05

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Solution

The fourth proportional to 213,492.42, 294,634.80 and 117,997.05 is: 162,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492.42 : 294,634.80 = 117,997.05 : x
  2. Step 2: Convert to fraction form
    213,492.42/294,634.80 = 117,997.05/x
  3. Step 3: Cross multiply
    213,492.42x = 294,634.80 × 117,997.05
  4. Step 4: Simplify right side
    213,492.42x = 34,766,037,227.34
  5. Step 5: Solve for x
    x = 34,766,037,227.34/213,492.42
  6. Step 6: Final answer
    x = 162,844.36

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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.