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Finding the Fourth Proportional to 153,906.89, 212,394.83 and 84,996.14

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Solution

The fourth proportional to 153,906.89, 212,394.83 and 84,996.14 is: 117,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.89 : 212,394.83 = 84,996.14 : x
  2. Step 2: Convert to fraction form
    153,906.89/212,394.83 = 84,996.14/x
  3. Step 3: Cross multiply
    153,906.89x = 212,394.83 × 84,996.14
  4. Step 4: Simplify right side
    153,906.89x = 18,052,739,219.00
  5. Step 5: Solve for x
    x = 18,052,739,219.00/153,906.89
  6. Step 6: Final answer
    x = 117,296.50

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1.5x scale

Why These Related Problems?

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