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Finding the Fourth Proportional to 135,951.16, 203,898.72 and 51,681.76

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Solution

The fourth proportional to 135,951.16, 203,898.72 and 51,681.76 is: 77,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,951.16 : 203,898.72 = 51,681.76 : x
  2. Step 2: Convert to fraction form
    135,951.16/203,898.72 = 51,681.76/x
  3. Step 3: Cross multiply
    135,951.16x = 203,898.72 × 51,681.76
  4. Step 4: Simplify right side
    135,951.16x = 10,537,844,711.35
  5. Step 5: Solve for x
    x = 10,537,844,711.35/135,951.16
  6. Step 6: Final answer
    x = 77,511.99

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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.