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Finding the Fourth Proportional to 232,820.02, 321,235.57 and 135,968.93

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Solution

The fourth proportional to 232,820.02, 321,235.57 and 135,968.93 is: 187,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,820.02 : 321,235.57 = 135,968.93 : x
  2. Step 2: Convert to fraction form
    232,820.02/321,235.57 = 135,968.93/x
  3. Step 3: Cross multiply
    232,820.02x = 321,235.57 × 135,968.93
  4. Step 4: Simplify right side
    232,820.02x = 43,678,056,499.26
  5. Step 5: Solve for x
    x = 43,678,056,499.26/232,820.02
  6. Step 6: Final answer
    x = 187,604.38

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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.