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Finding the Fourth Proportional to 281,598.42, 422,393.09 and 68,368.04

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Solution

The fourth proportional to 281,598.42, 422,393.09 and 68,368.04 is: 102,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,598.42 : 422,393.09 = 68,368.04 : x
  2. Step 2: Convert to fraction form
    281,598.42/422,393.09 = 68,368.04/x
  3. Step 3: Cross multiply
    281,598.42x = 422,393.09 × 68,368.04
  4. Step 4: Simplify right side
    281,598.42x = 28,878,185,219.04
  5. Step 5: Solve for x
    x = 28,878,185,219.04/281,598.42
  6. Step 6: Final answer
    x = 102,550.95

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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.