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Finding the Fourth Proportional to 227,473.20, 341,270.28 and 77,713.24

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Solution

The fourth proportional to 227,473.20, 341,270.28 and 77,713.24 is: 116,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,473.20 : 341,270.28 = 77,713.24 : x
  2. Step 2: Convert to fraction form
    227,473.20/341,270.28 = 77,713.24/x
  3. Step 3: Cross multiply
    227,473.20x = 341,270.28 × 77,713.24
  4. Step 4: Simplify right side
    227,473.20x = 26,521,219,174.51
  5. Step 5: Solve for x
    x = 26,521,219,174.51/227,473.20
  6. Step 6: Final answer
    x = 116,590.52

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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.