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Finding the Fourth Proportional to 197,483.94, 296,269.74 and 77,552.46

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Solution

The fourth proportional to 197,483.94, 296,269.74 and 77,552.46 is: 116,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,483.94 : 296,269.74 = 77,552.46 : x
  2. Step 2: Convert to fraction form
    197,483.94/296,269.74 = 77,552.46/x
  3. Step 3: Cross multiply
    197,483.94x = 296,269.74 × 77,552.46
  4. Step 4: Simplify right side
    197,483.94x = 22,976,447,160.56
  5. Step 5: Solve for x
    x = 22,976,447,160.56/197,483.94
  6. Step 6: Final answer
    x = 116,345.90

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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.