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Finding the Fourth Proportional to 262,758, 362,607.48 and 143,526

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Solution

The fourth proportional to 262,758, 362,607.48 and 143,526 is: 198,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,758 : 362,607.48 = 143,526 : x
  2. Step 2: Convert to fraction form
    262,758/362,607.48 = 143,526/x
  3. Step 3: Cross multiply
    262,758x = 362,607.48 × 143,526
  4. Step 4: Simplify right side
    262,758x = 52,043,601,174.48
  5. Step 5: Solve for x
    x = 52,043,601,174.48/262,758
  6. Step 6: Final answer
    x = 198,066.67

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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.