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Finding the Fourth Proportional to 262,864.04, 362,752 and 149,686.78

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Solution

The fourth proportional to 262,864.04, 362,752 and 149,686.78 is: 206,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,864.04 : 362,752 = 149,686.78 : x
  2. Step 2: Convert to fraction form
    262,864.04/362,752 = 149,686.78/x
  3. Step 3: Cross multiply
    262,864.04x = 362,752 × 149,686.78
  4. Step 4: Simplify right side
    262,864.04x = 54,299,178,818.56
  5. Step 5: Solve for x
    x = 54,299,178,818.56/262,864.04
  6. Step 6: Final answer
    x = 206,567.54

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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.