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Finding the Fourth Proportional to 194,880.80, 292,159.20 and 82,647.20

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Solution

The fourth proportional to 194,880.80, 292,159.20 and 82,647.20 is: 123,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,880.80 : 292,159.20 = 82,647.20 : x
  2. Step 2: Convert to fraction form
    194,880.80/292,159.20 = 82,647.20/x
  3. Step 3: Cross multiply
    194,880.80x = 292,159.20 × 82,647.20
  4. Step 4: Simplify right side
    194,880.80x = 24,146,139,834.24
  5. Step 5: Solve for x
    x = 24,146,139,834.24/194,880.80
  6. Step 6: Final answer
    x = 123,902.10

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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.