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Finding the Fourth Proportional to 263,632.32, 363,813.93 and 142,773.84

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Solution

The fourth proportional to 263,632.32, 363,813.93 and 142,773.84 is: 197,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,632.32 : 363,813.93 = 142,773.84 : x
  2. Step 2: Convert to fraction form
    263,632.32/363,813.93 = 142,773.84/x
  3. Step 3: Cross multiply
    263,632.32x = 363,813.93 × 142,773.84
  4. Step 4: Simplify right side
    263,632.32x = 51,943,111,831.59
  5. Step 5: Solve for x
    x = 51,943,111,831.59/263,632.32
  6. Step 6: Final answer
    x = 197,028.62

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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.