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Finding the Fourth Proportional to 262,392.80, 362,098.04 and 146,105.46

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Solution

The fourth proportional to 262,392.80, 362,098.04 and 146,105.46 is: 201,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,392.80 : 362,098.04 = 146,105.46 : x
  2. Step 2: Convert to fraction form
    262,392.80/362,098.04 = 146,105.46/x
  3. Step 3: Cross multiply
    262,392.80x = 362,098.04 × 146,105.46
  4. Step 4: Simplify right side
    262,392.80x = 52,904,499,968.77
  5. Step 5: Solve for x
    x = 52,904,499,968.77/262,392.80
  6. Step 6: Final answer
    x = 201,623.30

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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.