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Finding the Fourth Proportional to 262,354.98, 362,016.63 and 149,180.16

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Solution

The fourth proportional to 262,354.98, 362,016.63 and 149,180.16 is: 205,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,354.98 : 362,016.63 = 149,180.16 : x
  2. Step 2: Convert to fraction form
    262,354.98/362,016.63 = 149,180.16/x
  3. Step 3: Cross multiply
    262,354.98x = 362,016.63 × 149,180.16
  4. Step 4: Simplify right side
    262,354.98x = 54,005,698,786.06
  5. Step 5: Solve for x
    x = 54,005,698,786.06/262,354.98
  6. Step 6: Final answer
    x = 205,849.72

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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.