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Finding the Fourth Proportional to 209,818.35, 314,721.86 and 52,044.93

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Solution

The fourth proportional to 209,818.35, 314,721.86 and 52,044.93 is: 78,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,818.35 : 314,721.86 = 52,044.93 : x
  2. Step 2: Convert to fraction form
    209,818.35/314,721.86 = 52,044.93/x
  3. Step 3: Cross multiply
    209,818.35x = 314,721.86 × 52,044.93
  4. Step 4: Simplify right side
    209,818.35x = 16,379,676,912.95
  5. Step 5: Solve for x
    x = 16,379,676,912.95/209,818.35
  6. Step 6: Final answer
    x = 78,065.99

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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.