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Finding the Fourth Proportional to 208,270.51, 312,406.77 and 50,498.95

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Solution

The fourth proportional to 208,270.51, 312,406.77 and 50,498.95 is: 75,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,270.51 : 312,406.77 = 50,498.95 : x
  2. Step 2: Convert to fraction form
    208,270.51/312,406.77 = 50,498.95/x
  3. Step 3: Cross multiply
    208,270.51x = 312,406.77 × 50,498.95
  4. Step 4: Simplify right side
    208,270.51x = 15,776,213,857.89
  5. Step 5: Solve for x
    x = 15,776,213,857.89/208,270.51
  6. Step 6: Final answer
    x = 75,748.67

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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.