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Finding the Fourth Proportional to 233,523, 322,262.10 and 132,921

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Solution

The fourth proportional to 233,523, 322,262.10 and 132,921 is: 183,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,523 : 322,262.10 = 132,921 : x
  2. Step 2: Convert to fraction form
    233,523/322,262.10 = 132,921/x
  3. Step 3: Cross multiply
    233,523x = 322,262.10 × 132,921
  4. Step 4: Simplify right side
    233,523x = 42,835,400,594.10
  5. Step 5: Solve for x
    x = 42,835,400,594.10/233,523
  6. Step 6: Final answer
    x = 183,431.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.