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Finding the Fourth Proportional to 193,289.76, 289,865.16 and 66,895.70

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Solution

The fourth proportional to 193,289.76, 289,865.16 and 66,895.70 is: 100,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,289.76 : 289,865.16 = 66,895.70 : x
  2. Step 2: Convert to fraction form
    193,289.76/289,865.16 = 66,895.70/x
  3. Step 3: Cross multiply
    193,289.76x = 289,865.16 × 66,895.70
  4. Step 4: Simplify right side
    193,289.76x = 19,390,731,334.49
  5. Step 5: Solve for x
    x = 19,390,731,334.49/193,289.76
  6. Step 6: Final answer
    x = 100,319.50

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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.