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Finding the Fourth Proportional to 257,206.78, 385,343.61 and 189,905.50

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Solution

The fourth proportional to 257,206.78, 385,343.61 and 189,905.50 is: 284,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,206.78 : 385,343.61 = 189,905.50 : x
  2. Step 2: Convert to fraction form
    257,206.78/385,343.61 = 189,905.50/x
  3. Step 3: Cross multiply
    257,206.78x = 385,343.61 × 189,905.50
  4. Step 4: Simplify right side
    257,206.78x = 73,178,870,928.86
  5. Step 5: Solve for x
    x = 73,178,870,928.86/257,206.78
  6. Step 6: Final answer
    x = 284,513.77

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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.