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Finding the Fourth Proportional to 262,932, 362,846.16 and 149,820.36

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Solution

The fourth proportional to 262,932, 362,846.16 and 149,820.36 is: 206,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,932 : 362,846.16 = 149,820.36 : x
  2. Step 2: Convert to fraction form
    262,932/362,846.16 = 149,820.36/x
  3. Step 3: Cross multiply
    262,932x = 362,846.16 × 149,820.36
  4. Step 4: Simplify right side
    262,932x = 54,361,742,315.82
  5. Step 5: Solve for x
    x = 54,361,742,315.82/262,932
  6. Step 6: Final answer
    x = 206,752.10

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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.