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Finding the Fourth Proportional to 226,706.83, 312,643.03 and 140,679.77

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Solution

The fourth proportional to 226,706.83, 312,643.03 and 140,679.77 is: 194,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,706.83 : 312,643.03 = 140,679.77 : x
  2. Step 2: Convert to fraction form
    226,706.83/312,643.03 = 140,679.77/x
  3. Step 3: Cross multiply
    226,706.83x = 312,643.03 × 140,679.77
  4. Step 4: Simplify right side
    226,706.83x = 43,982,549,552.50
  5. Step 5: Solve for x
    x = 43,982,549,552.50/226,706.83
  6. Step 6: Final answer
    x = 194,006.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.