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Finding the Fourth Proportional to 257,208.78, 385,346.60 and 189,907.50

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Solution

The fourth proportional to 257,208.78, 385,346.60 and 189,907.50 is: 284,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,208.78 : 385,346.60 = 189,907.50 : x
  2. Step 2: Convert to fraction form
    257,208.78/385,346.60 = 189,907.50/x
  3. Step 3: Cross multiply
    257,208.78x = 385,346.60 × 189,907.50
  4. Step 4: Simplify right side
    257,208.78x = 73,180,209,439.50
  5. Step 5: Solve for x
    x = 73,180,209,439.50/257,208.78
  6. Step 6: Final answer
    x = 284,516.76

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