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Finding the Fourth Proportional to 214,353.85, 295,793.89 and 118,857.01

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Solution

The fourth proportional to 214,353.85, 295,793.89 and 118,857.01 is: 164,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,353.85 : 295,793.89 = 118,857.01 : x
  2. Step 2: Convert to fraction form
    214,353.85/295,793.89 = 118,857.01/x
  3. Step 3: Cross multiply
    214,353.85x = 295,793.89 × 118,857.01
  4. Step 4: Simplify right side
    214,353.85x = 35,157,177,341.67
  5. Step 5: Solve for x
    x = 35,157,177,341.67/214,353.85
  6. Step 6: Final answer
    x = 164,014.68

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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.