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Finding the Fourth Proportional to 233,266.96, 321,908.88 and 132,664.96

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Solution

The fourth proportional to 233,266.96, 321,908.88 and 132,664.96 is: 183,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.96 : 321,908.88 = 132,664.96 : x
  2. Step 2: Convert to fraction form
    233,266.96/321,908.88 = 132,664.96/x
  3. Step 3: Cross multiply
    233,266.96x = 321,908.88 × 132,664.96
  4. Step 4: Simplify right side
    233,266.96x = 42,706,028,688.84
  5. Step 5: Solve for x
    x = 42,706,028,688.84/233,266.96
  6. Step 6: Final answer
    x = 183,077.92

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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.