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Finding the Fourth Proportional to 137,097.44, 189,196.98 and 83,384.72

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Solution

The fourth proportional to 137,097.44, 189,196.98 and 83,384.72 is: 115,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.44 : 189,196.98 = 83,384.72 : x
  2. Step 2: Convert to fraction form
    137,097.44/189,196.98 = 83,384.72/x
  3. Step 3: Cross multiply
    137,097.44x = 189,196.98 × 83,384.72
  4. Step 4: Simplify right side
    137,097.44x = 15,776,137,202.15
  5. Step 5: Solve for x
    x = 15,776,137,202.15/137,097.44
  6. Step 6: Final answer
    x = 115,072.44

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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.