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Finding the Fourth Proportional to 274,166.64, 411,258.06 and 74,485.98

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Solution

The fourth proportional to 274,166.64, 411,258.06 and 74,485.98 is: 111,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,166.64 : 411,258.06 = 74,485.98 : x
  2. Step 2: Convert to fraction form
    274,166.64/411,258.06 = 74,485.98/x
  3. Step 3: Cross multiply
    274,166.64x = 411,258.06 × 74,485.98
  4. Step 4: Simplify right side
    274,166.64x = 30,632,959,632.00
  5. Step 5: Solve for x
    x = 30,632,959,632.00/274,166.64
  6. Step 6: Final answer
    x = 111,731.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.