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Finding the Fourth Proportional to 208,486.78, 312,730.26 and 50,714.26

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Solution

The fourth proportional to 208,486.78, 312,730.26 and 50,714.26 is: 76,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.78 : 312,730.26 = 50,714.26 : x
  2. Step 2: Convert to fraction form
    208,486.78/312,730.26 = 50,714.26/x
  3. Step 3: Cross multiply
    208,486.78x = 312,730.26 × 50,714.26
  4. Step 4: Simplify right side
    208,486.78x = 15,859,883,715.51
  5. Step 5: Solve for x
    x = 15,859,883,715.51/208,486.78
  6. Step 6: Final answer
    x = 76,071.41

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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.