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Finding the Fourth Proportional to 233,424.50, 322,140.21 and 132,822.26

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Solution

The fourth proportional to 233,424.50, 322,140.21 and 132,822.26 is: 183,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424.50 : 322,140.21 = 132,822.26 : x
  2. Step 2: Convert to fraction form
    233,424.50/322,140.21 = 132,822.26/x
  3. Step 3: Cross multiply
    233,424.50x = 322,140.21 × 132,822.26
  4. Step 4: Simplify right side
    233,424.50x = 42,787,390,729.07
  5. Step 5: Solve for x
    x = 42,787,390,729.07/233,424.50
  6. Step 6: Final answer
    x = 183,302.91

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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.