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Finding the Fourth Proportional to 197,206.47, 295,809.70 and 47,446.76

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Solution

The fourth proportional to 197,206.47, 295,809.70 and 47,446.76 is: 71,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,206.47 : 295,809.70 = 47,446.76 : x
  2. Step 2: Convert to fraction form
    197,206.47/295,809.70 = 47,446.76/x
  3. Step 3: Cross multiply
    197,206.47x = 295,809.70 × 47,446.76
  4. Step 4: Simplify right side
    197,206.47x = 14,035,211,841.57
  5. Step 5: Solve for x
    x = 14,035,211,841.57/197,206.47
  6. Step 6: Final answer
    x = 71,170.14

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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.