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Finding the Fourth Proportional to 195,064.88, 292,597.31 and 54,823.50

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Solution

The fourth proportional to 195,064.88, 292,597.31 and 54,823.50 is: 82,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,064.88 : 292,597.31 = 54,823.50 : x
  2. Step 2: Convert to fraction form
    195,064.88/292,597.31 = 54,823.50/x
  3. Step 3: Cross multiply
    195,064.88x = 292,597.31 × 54,823.50
  4. Step 4: Simplify right side
    195,064.88x = 16,041,208,761.84
  5. Step 5: Solve for x
    x = 16,041,208,761.84/195,064.88
  6. Step 6: Final answer
    x = 82,235.25

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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.