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Finding the Fourth Proportional to 357,113.67, 492,824.30 and 195,959.31

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Solution

The fourth proportional to 357,113.67, 492,824.30 and 195,959.31 is: 270,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,113.67 : 492,824.30 = 195,959.31 : x
  2. Step 2: Convert to fraction form
    357,113.67/492,824.30 = 195,959.31/x
  3. Step 3: Cross multiply
    357,113.67x = 492,824.30 × 195,959.31
  4. Step 4: Simplify right side
    357,113.67x = 96,573,508,799.44
  5. Step 5: Solve for x
    x = 96,573,508,799.44/357,113.67
  6. Step 6: Final answer
    x = 270,427.93

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Why These Related Problems?

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