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Finding the Fourth Proportional to 208,486.63, 312,749.42 and 58,726.67

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Solution

The fourth proportional to 208,486.63, 312,749.42 and 58,726.67 is: 88,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.63 : 312,749.42 = 58,726.67 : x
  2. Step 2: Convert to fraction form
    208,486.63/312,749.42 = 58,726.67/x
  3. Step 3: Cross multiply
    208,486.63x = 312,749.42 × 58,726.67
  4. Step 4: Simplify right side
    208,486.63x = 18,366,732,469.27
  5. Step 5: Solve for x
    x = 18,366,732,469.27/208,486.63
  6. Step 6: Final answer
    x = 88,095.49

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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.