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Finding the Fourth Proportional to 209,490.58, 289,094.18 and 113,997.05

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Solution

The fourth proportional to 209,490.58, 289,094.18 and 113,997.05 is: 157,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,490.58 : 289,094.18 = 113,997.05 : x
  2. Step 2: Convert to fraction form
    209,490.58/289,094.18 = 113,997.05/x
  3. Step 3: Cross multiply
    209,490.58x = 289,094.18 × 113,997.05
  4. Step 4: Simplify right side
    209,490.58x = 32,955,883,692.17
  5. Step 5: Solve for x
    x = 32,955,883,692.17/209,490.58
  6. Step 6: Final answer
    x = 157,314.39

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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.