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Finding the Fourth Proportional to 281,724.98, 422,602.84 and 71,364.74

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Solution

The fourth proportional to 281,724.98, 422,602.84 and 71,364.74 is: 107,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,724.98 : 422,602.84 = 71,364.74 : x
  2. Step 2: Convert to fraction form
    281,724.98/422,602.84 = 71,364.74/x
  3. Step 3: Cross multiply
    281,724.98x = 422,602.84 × 71,364.74
  4. Step 4: Simplify right side
    281,724.98x = 30,158,941,799.86
  5. Step 5: Solve for x
    x = 30,158,941,799.86/281,724.98
  6. Step 6: Final answer
    x = 107,051.00

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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.