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Finding the Fourth Proportional to 313,231.66, 432,235.74 and 184,175.37

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Solution

The fourth proportional to 313,231.66, 432,235.74 and 184,175.37 is: 254,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,231.66 : 432,235.74 = 184,175.37 : x
  2. Step 2: Convert to fraction form
    313,231.66/432,235.74 = 184,175.37/x
  3. Step 3: Cross multiply
    313,231.66x = 432,235.74 × 184,175.37
  4. Step 4: Simplify right side
    313,231.66x = 79,607,178,032.38
  5. Step 5: Solve for x
    x = 79,607,178,032.38/313,231.66
  6. Step 6: Final answer
    x = 254,147.93

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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.