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Finding the Fourth Proportional to 223,184.96, 307,994.40 and 122,583.36

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Solution

The fourth proportional to 223,184.96, 307,994.40 and 122,583.36 is: 169,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,184.96 : 307,994.40 = 122,583.36 : x
  2. Step 2: Convert to fraction form
    223,184.96/307,994.40 = 122,583.36/x
  3. Step 3: Cross multiply
    223,184.96x = 307,994.40 × 122,583.36
  4. Step 4: Simplify right side
    223,184.96x = 37,754,988,413.18
  5. Step 5: Solve for x
    x = 37,754,988,413.18/223,184.96
  6. Step 6: Final answer
    x = 169,164.57

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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.