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Finding the Fourth Proportional to 194,830.80, 292,084.20 and 82,597.20

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Solution

The fourth proportional to 194,830.80, 292,084.20 and 82,597.20 is: 123,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,830.80 : 292,084.20 = 82,597.20 : x
  2. Step 2: Convert to fraction form
    194,830.80/292,084.20 = 82,597.20/x
  3. Step 3: Cross multiply
    194,830.80x = 292,084.20 × 82,597.20
  4. Step 4: Simplify right side
    194,830.80x = 24,125,337,084.24
  5. Step 5: Solve for x
    x = 24,125,337,084.24/194,830.80
  6. Step 6: Final answer
    x = 123,827.12

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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.