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Finding the Fourth Proportional to 262,765.75, 362,616.70 and 141,907.02

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Solution

The fourth proportional to 262,765.75, 362,616.70 and 141,907.02 is: 195,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,765.75 : 362,616.70 = 141,907.02 : x
  2. Step 2: Convert to fraction form
    262,765.75/362,616.70 = 141,907.02/x
  3. Step 3: Cross multiply
    262,765.75x = 362,616.70 × 141,907.02
  4. Step 4: Simplify right side
    262,765.75x = 51,457,855,299.23
  5. Step 5: Solve for x
    x = 51,457,855,299.23/262,765.75
  6. Step 6: Final answer
    x = 195,831.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.