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Finding the Fourth Proportional to 197,001, 295,501.50 and 49,257

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Solution

The fourth proportional to 197,001, 295,501.50 and 49,257 is: 73,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,001 : 295,501.50 = 49,257 : x
  2. Step 2: Convert to fraction form
    197,001/295,501.50 = 49,257/x
  3. Step 3: Cross multiply
    197,001x = 295,501.50 × 49,257
  4. Step 4: Simplify right side
    197,001x = 14,555,517,385.50
  5. Step 5: Solve for x
    x = 14,555,517,385.50/197,001
  6. Step 6: Final answer
    x = 73,885.50

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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.