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Finding the Fourth Proportional to 227,980.30, 341,977.38 and 78,218.48

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Solution

The fourth proportional to 227,980.30, 341,977.38 and 78,218.48 is: 117,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,980.30 : 341,977.38 = 78,218.48 : x
  2. Step 2: Convert to fraction form
    227,980.30/341,977.38 = 78,218.48/x
  3. Step 3: Cross multiply
    227,980.30x = 341,977.38 × 78,218.48
  4. Step 4: Simplify right side
    227,980.30x = 26,748,950,857.98
  5. Step 5: Solve for x
    x = 26,748,950,857.98/227,980.30
  6. Step 6: Final answer
    x = 117,330.10

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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.