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Finding the Fourth Proportional to 191,107.94, 263,722.24 and 105,066.30

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Solution

The fourth proportional to 191,107.94, 263,722.24 and 105,066.30 is: 144,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,107.94 : 263,722.24 = 105,066.30 : x
  2. Step 2: Convert to fraction form
    191,107.94/263,722.24 = 105,066.30/x
  3. Step 3: Cross multiply
    191,107.94x = 263,722.24 × 105,066.30
  4. Step 4: Simplify right side
    191,107.94x = 27,708,319,984.51
  5. Step 5: Solve for x
    x = 27,708,319,984.51/191,107.94
  6. Step 6: Final answer
    x = 144,987.80

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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.