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Finding the Fourth Proportional to 262,763.40, 362,613.84 and 149,586

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Solution

The fourth proportional to 262,763.40, 362,613.84 and 149,586 is: 206,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,763.40 : 362,613.84 = 149,586 : x
  2. Step 2: Convert to fraction form
    262,763.40/362,613.84 = 149,586/x
  3. Step 3: Cross multiply
    262,763.40x = 362,613.84 × 149,586
  4. Step 4: Simplify right side
    262,763.40x = 54,241,953,870.24
  5. Step 5: Solve for x
    x = 54,241,953,870.24/262,763.40
  6. Step 6: Final answer
    x = 206,428.88

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