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Finding the Fourth Proportional to 262,356.24, 362,049.92 and 149,178.98

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Solution

The fourth proportional to 262,356.24, 362,049.92 and 149,178.98 is: 205,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,356.24 : 362,049.92 = 149,178.98 : x
  2. Step 2: Convert to fraction form
    262,356.24/362,049.92 = 149,178.98/x
  3. Step 3: Cross multiply
    262,356.24x = 362,049.92 × 149,178.98
  4. Step 4: Simplify right side
    262,356.24x = 54,010,237,774.68
  5. Step 5: Solve for x
    x = 54,010,237,774.68/262,356.24
  6. Step 6: Final answer
    x = 205,866.03

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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.