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Finding the Fourth Proportional to 234,938.01, 352,413.06 and 75,013.80

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Solution

The fourth proportional to 234,938.01, 352,413.06 and 75,013.80 is: 112,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,938.01 : 352,413.06 = 75,013.80 : x
  2. Step 2: Convert to fraction form
    234,938.01/352,413.06 = 75,013.80/x
  3. Step 3: Cross multiply
    234,938.01x = 352,413.06 × 75,013.80
  4. Step 4: Simplify right side
    234,938.01x = 26,435,842,800.23
  5. Step 5: Solve for x
    x = 26,435,842,800.23/234,938.01
  6. Step 6: Final answer
    x = 112,522.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.