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Finding the Fourth Proportional to 191,662.80, 264,494.94 and 106,782.84

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Solution

The fourth proportional to 191,662.80, 264,494.94 and 106,782.84 is: 147,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,662.80 : 264,494.94 = 106,782.84 : x
  2. Step 2: Convert to fraction form
    191,662.80/264,494.94 = 106,782.84/x
  3. Step 3: Cross multiply
    191,662.80x = 264,494.94 × 106,782.84
  4. Step 4: Simplify right side
    191,662.80x = 28,243,520,858.83
  5. Step 5: Solve for x
    x = 28,243,520,858.83/191,662.80
  6. Step 6: Final answer
    x = 147,360.47

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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.