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Finding the Fourth Proportional to 191,435.44, 264,189.75 and 106,558

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Solution

The fourth proportional to 191,435.44, 264,189.75 and 106,558 is: 147,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,435.44 : 264,189.75 = 106,558 : x
  2. Step 2: Convert to fraction form
    191,435.44/264,189.75 = 106,558/x
  3. Step 3: Cross multiply
    191,435.44x = 264,189.75 × 106,558
  4. Step 4: Simplify right side
    191,435.44x = 28,151,531,380.50
  5. Step 5: Solve for x
    x = 28,151,531,380.50/191,435.44
  6. Step 6: Final answer
    x = 147,054.96

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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.