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Finding the Fourth Proportional to 189,893.79, 262,055.16 and 105,012.27

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Solution

The fourth proportional to 189,893.79, 262,055.16 and 105,012.27 is: 144,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,893.79 : 262,055.16 = 105,012.27 : x
  2. Step 2: Convert to fraction form
    189,893.79/262,055.16 = 105,012.27/x
  3. Step 3: Cross multiply
    189,893.79x = 262,055.16 × 105,012.27
  4. Step 4: Simplify right side
    189,893.79x = 27,519,007,216.81
  5. Step 5: Solve for x
    x = 27,519,007,216.81/189,893.79
  6. Step 6: Final answer
    x = 144,917.89

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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.