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Finding the Fourth Proportional to 262,522.56, 362,257.74 and 146,227.12

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Solution

The fourth proportional to 262,522.56, 362,257.74 and 146,227.12 is: 201,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,522.56 : 362,257.74 = 146,227.12 : x
  2. Step 2: Convert to fraction form
    262,522.56/362,257.74 = 146,227.12/x
  3. Step 3: Cross multiply
    262,522.56x = 362,257.74 × 146,227.12
  4. Step 4: Simplify right side
    262,522.56x = 52,971,906,017.91
  5. Step 5: Solve for x
    x = 52,971,906,017.91/262,522.56
  6. Step 6: Final answer
    x = 201,780.40

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1.5x scale

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.