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Finding the Fourth Proportional to 353,204.70, 529,807.05 and 142,734.30

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Solution

The fourth proportional to 353,204.70, 529,807.05 and 142,734.30 is: 214,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,204.70 : 529,807.05 = 142,734.30 : x
  2. Step 2: Convert to fraction form
    353,204.70/529,807.05 = 142,734.30/x
  3. Step 3: Cross multiply
    353,204.70x = 529,807.05 × 142,734.30
  4. Step 4: Simplify right side
    353,204.70x = 75,621,638,416.82
  5. Step 5: Solve for x
    x = 75,621,638,416.82/353,204.70
  6. Step 6: Final answer
    x = 214,101.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.