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Finding the Fourth Proportional to 278,771.76, 384,709.70 and 151,447.45

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Solution

The fourth proportional to 278,771.76, 384,709.70 and 151,447.45 is: 209,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,771.76 : 384,709.70 = 151,447.45 : x
  2. Step 2: Convert to fraction form
    278,771.76/384,709.70 = 151,447.45/x
  3. Step 3: Cross multiply
    278,771.76x = 384,709.70 × 151,447.45
  4. Step 4: Simplify right side
    278,771.76x = 58,263,302,298.03
  5. Step 5: Solve for x
    x = 58,263,302,298.03/278,771.76
  6. Step 6: Final answer
    x = 209,000.02

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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.