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Finding the Fourth Proportional to 190,197.77, 262,480.83 and 105,314.83

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Solution

The fourth proportional to 190,197.77, 262,480.83 and 105,314.83 is: 145,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,197.77 : 262,480.83 = 105,314.83 : x
  2. Step 2: Convert to fraction form
    190,197.77/262,480.83 = 105,314.83/x
  3. Step 3: Cross multiply
    190,197.77x = 262,480.83 × 105,314.83
  4. Step 4: Simplify right side
    190,197.77x = 27,643,123,333.51
  5. Step 5: Solve for x
    x = 27,643,123,333.51/190,197.77
  6. Step 6: Final answer
    x = 145,338.84

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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.