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Finding the Fourth Proportional to 147,968, 204,204.02 and 84,293.60

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Solution

The fourth proportional to 147,968, 204,204.02 and 84,293.60 is: 116,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968 : 204,204.02 = 84,293.60 : x
  2. Step 2: Convert to fraction form
    147,968/204,204.02 = 84,293.60/x
  3. Step 3: Cross multiply
    147,968x = 204,204.02 × 84,293.60
  4. Step 4: Simplify right side
    147,968x = 17,213,091,980.27
  5. Step 5: Solve for x
    x = 17,213,091,980.27/147,968
  6. Step 6: Final answer
    x = 116,329.83

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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.