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Finding the Fourth Proportional to 214,049.14, 295,384.56 and 117,252.22

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Solution

The fourth proportional to 214,049.14, 295,384.56 and 117,252.22 is: 161,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.14 : 295,384.56 = 117,252.22 : x
  2. Step 2: Convert to fraction form
    214,049.14/295,384.56 = 117,252.22/x
  3. Step 3: Cross multiply
    214,049.14x = 295,384.56 × 117,252.22
  4. Step 4: Simplify right side
    214,049.14x = 34,634,495,413.72
  5. Step 5: Solve for x
    x = 34,634,495,413.72/214,049.14
  6. Step 6: Final answer
    x = 161,806.28

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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.