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Finding the Fourth Proportional to 233,728, 322,544.64 and 133,184.32

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Solution

The fourth proportional to 233,728, 322,544.64 and 133,184.32 is: 183,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728 : 322,544.64 = 133,184.32 : x
  2. Step 2: Convert to fraction form
    233,728/322,544.64 = 133,184.32/x
  3. Step 3: Cross multiply
    233,728x = 322,544.64 × 133,184.32
  4. Step 4: Simplify right side
    233,728x = 42,957,888,548.04
  5. Step 5: Solve for x
    x = 42,957,888,548.04/233,728
  6. Step 6: Final answer
    x = 183,794.36

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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.