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Finding the Fourth Proportional to 233,773.36, 322,528.44 and 133,100.08

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Solution

The fourth proportional to 233,773.36, 322,528.44 and 133,100.08 is: 183,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,773.36 : 322,528.44 = 133,100.08 : x
  2. Step 2: Convert to fraction form
    233,773.36/322,528.44 = 133,100.08/x
  3. Step 3: Cross multiply
    233,773.36x = 322,528.44 × 133,100.08
  4. Step 4: Simplify right side
    233,773.36x = 42,928,561,166.28
  5. Step 5: Solve for x
    x = 42,928,561,166.28/233,773.36
  6. Step 6: Final answer
    x = 183,633.25

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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.