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Finding the Fourth Proportional to 229,013.89, 343,170.52 and 122,413.01

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Solution

The fourth proportional to 229,013.89, 343,170.52 and 122,413.01 is: 183,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,013.89 : 343,170.52 = 122,413.01 : x
  2. Step 2: Convert to fraction form
    229,013.89/343,170.52 = 122,413.01/x
  3. Step 3: Cross multiply
    229,013.89x = 343,170.52 × 122,413.01
  4. Step 4: Simplify right side
    229,013.89x = 42,008,536,296.47
  5. Step 5: Solve for x
    x = 42,008,536,296.47/229,013.89
  6. Step 6: Final answer
    x = 183,432.26

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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.