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Finding the Fourth Proportional to 233,777, 322,612.26 and 133,175

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Solution

The fourth proportional to 233,777, 322,612.26 and 133,175 is: 183,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,777 : 322,612.26 = 133,175 : x
  2. Step 2: Convert to fraction form
    233,777/322,612.26 = 133,175/x
  3. Step 3: Cross multiply
    233,777x = 322,612.26 × 133,175
  4. Step 4: Simplify right side
    233,777x = 42,963,887,725.50
  5. Step 5: Solve for x
    x = 42,963,887,725.50/233,777
  6. Step 6: Final answer
    x = 183,781.50

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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.