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Finding the Fourth Proportional to 263,522.96, 363,664.55 and 142,666.81

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Solution

The fourth proportional to 263,522.96, 363,664.55 and 142,666.81 is: 196,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,522.96 : 363,664.55 = 142,666.81 : x
  2. Step 2: Convert to fraction form
    263,522.96/363,664.55 = 142,666.81/x
  3. Step 3: Cross multiply
    263,522.96x = 363,664.55 × 142,666.81
  4. Step 4: Simplify right side
    263,522.96x = 51,882,861,258.59
  5. Step 5: Solve for x
    x = 51,882,861,258.59/263,522.96
  6. Step 6: Final answer
    x = 196,881.75

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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.