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Finding the Fourth Proportional to 243,271.46, 364,942.12 and 74,805.96

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Solution

The fourth proportional to 243,271.46, 364,942.12 and 74,805.96 is: 112,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,271.46 : 364,942.12 = 74,805.96 : x
  2. Step 2: Convert to fraction form
    243,271.46/364,942.12 = 74,805.96/x
  3. Step 3: Cross multiply
    243,271.46x = 364,942.12 × 74,805.96
  4. Step 4: Simplify right side
    243,271.46x = 27,299,845,631.04
  5. Step 5: Solve for x
    x = 27,299,845,631.04/243,271.46
  6. Step 6: Final answer
    x = 112,219.68

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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.