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Finding the Fourth Proportional to 182,900.96, 252,413.13 and 102,323.68

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Solution

The fourth proportional to 182,900.96, 252,413.13 and 102,323.68 is: 141,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,900.96 : 252,413.13 = 102,323.68 : x
  2. Step 2: Convert to fraction form
    182,900.96/252,413.13 = 102,323.68/x
  3. Step 3: Cross multiply
    182,900.96x = 252,413.13 × 102,323.68
  4. Step 4: Simplify right side
    182,900.96x = 25,827,839,519.03
  5. Step 5: Solve for x
    x = 25,827,839,519.03/182,900.96
  6. Step 6: Final answer
    x = 141,212.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.