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Finding the Fourth Proportional to 198,445, 297,667.50 and 50,701

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Solution

The fourth proportional to 198,445, 297,667.50 and 50,701 is: 76,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,445 : 297,667.50 = 50,701 : x
  2. Step 2: Convert to fraction form
    198,445/297,667.50 = 50,701/x
  3. Step 3: Cross multiply
    198,445x = 297,667.50 × 50,701
  4. Step 4: Simplify right side
    198,445x = 15,092,039,917.50
  5. Step 5: Solve for x
    x = 15,092,039,917.50/198,445
  6. Step 6: Final answer
    x = 76,051.50

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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.