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Finding the Fourth Proportional to 197,697.22, 296,667.60 and 77,733.04

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Solution

The fourth proportional to 197,697.22, 296,667.60 and 77,733.04 is: 116,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,697.22 : 296,667.60 = 77,733.04 : x
  2. Step 2: Convert to fraction form
    197,697.22/296,667.60 = 77,733.04/x
  3. Step 3: Cross multiply
    197,697.22x = 296,667.60 × 77,733.04
  4. Step 4: Simplify right side
    197,697.22x = 23,060,874,417.50
  5. Step 5: Solve for x
    x = 23,060,874,417.50/197,697.22
  6. Step 6: Final answer
    x = 116,647.44

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