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Finding the Fourth Proportional to 194,798.95, 292,211.40 and 68,423.83

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Solution

The fourth proportional to 194,798.95, 292,211.40 and 68,423.83 is: 102,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798.95 : 292,211.40 = 68,423.83 : x
  2. Step 2: Convert to fraction form
    194,798.95/292,211.40 = 68,423.83/x
  3. Step 3: Cross multiply
    194,798.95x = 292,211.40 × 68,423.83
  4. Step 4: Simplify right side
    194,798.95x = 19,994,223,157.66
  5. Step 5: Solve for x
    x = 19,994,223,157.66/194,798.95
  6. Step 6: Final answer
    x = 102,640.30

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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.