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Finding the Fourth Proportional to 197,283, 272,251.50 and 107,859

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Solution

The fourth proportional to 197,283, 272,251.50 and 107,859 is: 148,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,283 : 272,251.50 = 107,859 : x
  2. Step 2: Convert to fraction form
    197,283/272,251.50 = 107,859/x
  3. Step 3: Cross multiply
    197,283x = 272,251.50 × 107,859
  4. Step 4: Simplify right side
    197,283x = 29,364,774,538.50
  5. Step 5: Solve for x
    x = 29,364,774,538.50/197,283
  6. Step 6: Final answer
    x = 148,845.94

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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.