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Finding the Fourth Proportional to 229,506.81, 344,170.04 and 77,662.08

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Solution

The fourth proportional to 229,506.81, 344,170.04 and 77,662.08 is: 116,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506.81 : 344,170.04 = 77,662.08 : x
  2. Step 2: Convert to fraction form
    229,506.81/344,170.04 = 77,662.08/x
  3. Step 3: Cross multiply
    229,506.81x = 344,170.04 × 77,662.08
  4. Step 4: Simplify right side
    229,506.81x = 26,728,960,771.94
  5. Step 5: Solve for x
    x = 26,728,960,771.94/229,506.81
  6. Step 6: Final answer
    x = 116,462.60

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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.