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Finding the Fourth Proportional to 195,064.78, 292,597.14 and 54,823.41

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Solution

The fourth proportional to 195,064.78, 292,597.14 and 54,823.41 is: 82,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,064.78 : 292,597.14 = 54,823.41 : x
  2. Step 2: Convert to fraction form
    195,064.78/292,597.14 = 54,823.41/x
  3. Step 3: Cross multiply
    195,064.78x = 292,597.14 × 54,823.41
  4. Step 4: Simplify right side
    195,064.78x = 16,041,172,971.05
  5. Step 5: Solve for x
    x = 16,041,172,971.05/195,064.78
  6. Step 6: Final answer
    x = 82,235.11

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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.