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Finding the Fourth Proportional to 262,775.25, 362,630.25 and 149,598

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Solution

The fourth proportional to 262,775.25, 362,630.25 and 149,598 is: 206,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,775.25 : 362,630.25 = 149,598 : x
  2. Step 2: Convert to fraction form
    262,775.25/362,630.25 = 149,598/x
  3. Step 3: Cross multiply
    262,775.25x = 362,630.25 × 149,598
  4. Step 4: Simplify right side
    262,775.25x = 54,248,760,139.50
  5. Step 5: Solve for x
    x = 54,248,760,139.50/262,775.25
  6. Step 6: Final answer
    x = 206,445.47

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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.