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Finding the Fourth Proportional to 153,208.05, 211,410.99 and 85,213.95

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Solution

The fourth proportional to 153,208.05, 211,410.99 and 85,213.95 is: 117,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,208.05 : 211,410.99 = 85,213.95 : x
  2. Step 2: Convert to fraction form
    153,208.05/211,410.99 = 85,213.95/x
  3. Step 3: Cross multiply
    153,208.05x = 211,410.99 × 85,213.95
  4. Step 4: Simplify right side
    153,208.05x = 18,015,165,531.31
  5. Step 5: Solve for x
    x = 18,015,165,531.31/153,208.05
  6. Step 6: Final answer
    x = 117,586.29

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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.