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Finding the Fourth Proportional to 197,964, 273,078.54 and 117,312.30

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Solution

The fourth proportional to 197,964, 273,078.54 and 117,312.30 is: 161,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 273,078.54 = 117,312.30 : x
  2. Step 2: Convert to fraction form
    197,964/273,078.54 = 117,312.30/x
  3. Step 3: Cross multiply
    197,964x = 273,078.54 × 117,312.30
  4. Step 4: Simplify right side
    197,964x = 32,035,471,608.04
  5. Step 5: Solve for x
    x = 32,035,471,608.04/197,964
  6. Step 6: Final answer
    x = 161,824.73

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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.