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Finding the Fourth Proportional to 234,510.33, 323,623.44 and 127,083

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Solution

The fourth proportional to 234,510.33, 323,623.44 and 127,083 is: 175,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,510.33 : 323,623.44 = 127,083 : x
  2. Step 2: Convert to fraction form
    234,510.33/323,623.44 = 127,083/x
  3. Step 3: Cross multiply
    234,510.33x = 323,623.44 × 127,083
  4. Step 4: Simplify right side
    234,510.33x = 41,127,037,625.52
  5. Step 5: Solve for x
    x = 41,127,037,625.52/234,510.33
  6. Step 6: Final answer
    x = 175,374.10

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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.