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Finding the Fourth Proportional to 229,570.40, 344,381.76 and 61,097.64

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Solution

The fourth proportional to 229,570.40, 344,381.76 and 61,097.64 is: 91,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,570.40 : 344,381.76 = 61,097.64 : x
  2. Step 2: Convert to fraction form
    229,570.40/344,381.76 = 61,097.64/x
  3. Step 3: Cross multiply
    229,570.40x = 344,381.76 × 61,097.64
  4. Step 4: Simplify right side
    229,570.40x = 21,040,912,795.05
  5. Step 5: Solve for x
    x = 21,040,912,795.05/229,570.40
  6. Step 6: Final answer
    x = 91,653.42

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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.