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Finding the Fourth Proportional to 197,537.16, 272,602 and 106,893.12

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Solution

The fourth proportional to 197,537.16, 272,602 and 106,893.12 is: 147,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,537.16 : 272,602 = 106,893.12 : x
  2. Step 2: Convert to fraction form
    197,537.16/272,602 = 106,893.12/x
  3. Step 3: Cross multiply
    197,537.16x = 272,602 × 106,893.12
  4. Step 4: Simplify right side
    197,537.16x = 29,139,278,298.24
  5. Step 5: Solve for x
    x = 29,139,278,298.24/197,537.16
  6. Step 6: Final answer
    x = 147,512.89

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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.