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Finding the Fourth Proportional to 197,274, 272,238.12 and 107,850

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Solution

The fourth proportional to 197,274, 272,238.12 and 107,850 is: 148,833

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,274 : 272,238.12 = 107,850 : x
  2. Step 2: Convert to fraction form
    197,274/272,238.12 = 107,850/x
  3. Step 3: Cross multiply
    197,274x = 272,238.12 × 107,850
  4. Step 4: Simplify right side
    197,274x = 29,360,881,242
  5. Step 5: Solve for x
    x = 29,360,881,242/197,274
  6. Step 6: Final answer
    x = 148,833

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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.