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Finding the Fourth Proportional to 227,416.99, 341,204.16 and 77,762.62

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Solution

The fourth proportional to 227,416.99, 341,204.16 and 77,762.62 is: 116,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,416.99 : 341,204.16 = 77,762.62 : x
  2. Step 2: Convert to fraction form
    227,416.99/341,204.16 = 77,762.62/x
  3. Step 3: Cross multiply
    227,416.99x = 341,204.16 × 77,762.62
  4. Step 4: Simplify right side
    227,416.99x = 26,532,929,436.50
  5. Step 5: Solve for x
    x = 26,532,929,436.50/227,416.99
  6. Step 6: Final answer
    x = 116,670.83

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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.