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Finding the Fourth Proportional to 270,534.35, 405,413.33 and 151,956.12

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Solution

The fourth proportional to 270,534.35, 405,413.33 and 151,956.12 is: 227,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,534.35 : 405,413.33 = 151,956.12 : x
  2. Step 2: Convert to fraction form
    270,534.35/405,413.33 = 151,956.12/x
  3. Step 3: Cross multiply
    270,534.35x = 405,413.33 × 151,956.12
  4. Step 4: Simplify right side
    270,534.35x = 61,605,035,863.30
  5. Step 5: Solve for x
    x = 61,605,035,863.30/270,534.35
  6. Step 6: Final answer
    x = 227,716.14

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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.