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Finding the Fourth Proportional to 197,116, 272,020.08 and 107,692

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Solution

The fourth proportional to 197,116, 272,020.08 and 107,692 is: 148,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,116 : 272,020.08 = 107,692 : x
  2. Step 2: Convert to fraction form
    197,116/272,020.08 = 107,692/x
  3. Step 3: Cross multiply
    197,116x = 272,020.08 × 107,692
  4. Step 4: Simplify right side
    197,116x = 29,294,386,455.36
  5. Step 5: Solve for x
    x = 29,294,386,455.36/197,116
  6. Step 6: Final answer
    x = 148,614.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.