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Finding the Fourth Proportional to 233,664.50, 322,457.01 and 127,680.50

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Solution

The fourth proportional to 233,664.50, 322,457.01 and 127,680.50 is: 176,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,664.50 : 322,457.01 = 127,680.50 : x
  2. Step 2: Convert to fraction form
    233,664.50/322,457.01 = 127,680.50/x
  3. Step 3: Cross multiply
    233,664.50x = 322,457.01 × 127,680.50
  4. Step 4: Simplify right side
    233,664.50x = 41,171,472,265.31
  5. Step 5: Solve for x
    x = 41,171,472,265.31/233,664.50
  6. Step 6: Final answer
    x = 176,199.09

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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.