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Finding the Fourth Proportional to 262,722.28, 362,557.16 and 149,545

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Solution

The fourth proportional to 262,722.28, 362,557.16 and 149,545 is: 206,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,722.28 : 362,557.16 = 149,545 : x
  2. Step 2: Convert to fraction form
    262,722.28/362,557.16 = 149,545/x
  3. Step 3: Cross multiply
    262,722.28x = 362,557.16 × 149,545
  4. Step 4: Simplify right side
    262,722.28x = 54,218,610,492.20
  5. Step 5: Solve for x
    x = 54,218,610,492.20/262,722.28
  6. Step 6: Final answer
    x = 206,372.34

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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.