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Finding the Fourth Proportional to 207,787.19, 311,698.46 and 65,594.42

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Solution

The fourth proportional to 207,787.19, 311,698.46 and 65,594.42 is: 98,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,787.19 : 311,698.46 = 65,594.42 : x
  2. Step 2: Convert to fraction form
    207,787.19/311,698.46 = 65,594.42/x
  3. Step 3: Cross multiply
    207,787.19x = 311,698.46 × 65,594.42
  4. Step 4: Simplify right side
    207,787.19x = 20,445,680,641.83
  5. Step 5: Solve for x
    x = 20,445,680,641.83/207,787.19
  6. Step 6: Final answer
    x = 98,397.22

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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.