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Finding the Fourth Proportional to 243,273.35, 364,944.90 and 74,807.83

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Solution

The fourth proportional to 243,273.35, 364,944.90 and 74,807.83 is: 112,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,273.35 : 364,944.90 = 74,807.83 : x
  2. Step 2: Convert to fraction form
    243,273.35/364,944.90 = 74,807.83/x
  3. Step 3: Cross multiply
    243,273.35x = 364,944.90 × 74,807.83
  4. Step 4: Simplify right side
    243,273.35x = 27,300,734,213.84
  5. Step 5: Solve for x
    x = 27,300,734,213.84/243,273.35
  6. Step 6: Final answer
    x = 112,222.46

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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.