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Finding the Fourth Proportional to 177,709.28, 266,601.28 and 51,349.28

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Solution

The fourth proportional to 177,709.28, 266,601.28 and 51,349.28 is: 77,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,709.28 : 266,601.28 = 51,349.28 : x
  2. Step 2: Convert to fraction form
    177,709.28/266,601.28 = 51,349.28/x
  3. Step 3: Cross multiply
    177,709.28x = 266,601.28 × 51,349.28
  4. Step 4: Simplify right side
    177,709.28x = 13,689,783,775.08
  5. Step 5: Solve for x
    x = 13,689,783,775.08/177,709.28
  6. Step 6: Final answer
    x = 77,034.72

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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.