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Finding the Fourth Proportional to 233,913.02, 322,464.04 and 166,728.38

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Solution

The fourth proportional to 233,913.02, 322,464.04 and 166,728.38 is: 229,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,913.02 : 322,464.04 = 166,728.38 : x
  2. Step 2: Convert to fraction form
    233,913.02/322,464.04 = 166,728.38/x
  3. Step 3: Cross multiply
    233,913.02x = 322,464.04 × 166,728.38
  4. Step 4: Simplify right side
    233,913.02x = 53,763,904,968.31
  5. Step 5: Solve for x
    x = 53,763,904,968.31/233,913.02
  6. Step 6: Final answer
    x = 229,845.72

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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.