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Finding the Fourth Proportional to 262,485.72, 362,227.14 and 149,308.20

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Solution

The fourth proportional to 262,485.72, 362,227.14 and 149,308.20 is: 206,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,485.72 : 362,227.14 = 149,308.20 : x
  2. Step 2: Convert to fraction form
    262,485.72/362,227.14 = 149,308.20/x
  3. Step 3: Cross multiply
    262,485.72x = 362,227.14 × 149,308.20
  4. Step 4: Simplify right side
    262,485.72x = 54,083,482,264.55
  5. Step 5: Solve for x
    x = 54,083,482,264.55/262,485.72
  6. Step 6: Final answer
    x = 206,043.52

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1.5x scale

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.