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Finding the Fourth Proportional to 229,198.94, 343,486.93 and 86,967.74

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Solution

The fourth proportional to 229,198.94, 343,486.93 and 86,967.74 is: 130,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,198.94 : 343,486.93 = 86,967.74 : x
  2. Step 2: Convert to fraction form
    229,198.94/343,486.93 = 86,967.74/x
  3. Step 3: Cross multiply
    229,198.94x = 343,486.93 × 86,967.74
  4. Step 4: Simplify right side
    229,198.94x = 29,872,282,021.64
  5. Step 5: Solve for x
    x = 29,872,282,021.64/229,198.94
  6. Step 6: Final answer
    x = 130,333.42

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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.