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Finding the Fourth Proportional to 197,516, 296,274 and 49,772

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Solution

The fourth proportional to 197,516, 296,274 and 49,772 is: 74,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,516 : 296,274 = 49,772 : x
  2. Step 2: Convert to fraction form
    197,516/296,274 = 49,772/x
  3. Step 3: Cross multiply
    197,516x = 296,274 × 49,772
  4. Step 4: Simplify right side
    197,516x = 14,746,149,528
  5. Step 5: Solve for x
    x = 14,746,149,528/197,516
  6. Step 6: Final answer
    x = 74,658

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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.