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Finding the Fourth Proportional to 229,525.80, 344,288 and 61,045.98

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Solution

The fourth proportional to 229,525.80, 344,288 and 61,045.98 is: 91,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525.80 : 344,288 = 61,045.98 : x
  2. Step 2: Convert to fraction form
    229,525.80/344,288 = 61,045.98/x
  3. Step 3: Cross multiply
    229,525.80x = 344,288 × 61,045.98
  4. Step 4: Simplify right side
    229,525.80x = 21,017,398,362.24
  5. Step 5: Solve for x
    x = 21,017,398,362.24/229,525.80
  6. Step 6: Final answer
    x = 91,568.78

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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.