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Finding the Fourth Proportional to 207,787.06, 311,698.28 and 65,594.29

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Solution

The fourth proportional to 207,787.06, 311,698.28 and 65,594.29 is: 98,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,787.06 : 311,698.28 = 65,594.29 : x
  2. Step 2: Convert to fraction form
    207,787.06/311,698.28 = 65,594.29/x
  3. Step 3: Cross multiply
    207,787.06x = 311,698.28 × 65,594.29
  4. Step 4: Simplify right side
    207,787.06x = 20,445,627,370.82
  5. Step 5: Solve for x
    x = 20,445,627,370.82/207,787.06
  6. Step 6: Final answer
    x = 98,397.02

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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.