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Finding the Fourth Proportional to 212,083.45, 292,680.74 and 115,293.80

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Solution

The fourth proportional to 212,083.45, 292,680.74 and 115,293.80 is: 159,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,083.45 : 292,680.74 = 115,293.80 : x
  2. Step 2: Convert to fraction form
    212,083.45/292,680.74 = 115,293.80/x
  3. Step 3: Cross multiply
    212,083.45x = 292,680.74 × 115,293.80
  4. Step 4: Simplify right side
    212,083.45x = 33,744,275,721.35
  5. Step 5: Solve for x
    x = 33,744,275,721.35/212,083.45
  6. Step 6: Final answer
    x = 159,108.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.