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Finding the Fourth Proportional to 262,322, 362,004.36 and 143,090

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Solution

The fourth proportional to 262,322, 362,004.36 and 143,090 is: 197,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,322 : 362,004.36 = 143,090 : x
  2. Step 2: Convert to fraction form
    262,322/362,004.36 = 143,090/x
  3. Step 3: Cross multiply
    262,322x = 362,004.36 × 143,090
  4. Step 4: Simplify right side
    262,322x = 51,799,203,872.40
  5. Step 5: Solve for x
    x = 51,799,203,872.40/262,322
  6. Step 6: Final answer
    x = 197,464.20

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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.