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Finding the Fourth Proportional to 197,792.60, 296,907.60 and 122,997.20

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Solution

The fourth proportional to 197,792.60, 296,907.60 and 122,997.20 is: 184,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,792.60 : 296,907.60 = 122,997.20 : x
  2. Step 2: Convert to fraction form
    197,792.60/296,907.60 = 122,997.20/x
  3. Step 3: Cross multiply
    197,792.60x = 296,907.60 × 122,997.20
  4. Step 4: Simplify right side
    197,792.60x = 36,518,803,458.72
  5. Step 5: Solve for x
    x = 36,518,803,458.72/197,792.60
  6. Step 6: Final answer
    x = 184,631.80

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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.