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Finding the Fourth Proportional to 274,308, 411,306.48 and 114,199.20

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Solution

The fourth proportional to 274,308, 411,306.48 and 114,199.20 is: 171,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,308 : 411,306.48 = 114,199.20 : x
  2. Step 2: Convert to fraction form
    274,308/411,306.48 = 114,199.20/x
  3. Step 3: Cross multiply
    274,308x = 411,306.48 × 114,199.20
  4. Step 4: Simplify right side
    274,308x = 46,970,870,970.82
  5. Step 5: Solve for x
    x = 46,970,870,970.82/274,308
  6. Step 6: Final answer
    x = 171,234.05

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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.