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Finding the Fourth Proportional to 229,051.94, 343,599.77 and 71,238.02

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Solution

The fourth proportional to 229,051.94, 343,599.77 and 71,238.02 is: 106,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,051.94 : 343,599.77 = 71,238.02 : x
  2. Step 2: Convert to fraction form
    229,051.94/343,599.77 = 71,238.02/x
  3. Step 3: Cross multiply
    229,051.94x = 343,599.77 × 71,238.02
  4. Step 4: Simplify right side
    229,051.94x = 24,477,365,747.35
  5. Step 5: Solve for x
    x = 24,477,365,747.35/229,051.94
  6. Step 6: Final answer
    x = 106,863.82

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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.