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Finding the Fourth Proportional to 191,346.90, 264,059.91 and 106,469.34

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Solution

The fourth proportional to 191,346.90, 264,059.91 and 106,469.34 is: 146,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,346.90 : 264,059.91 = 106,469.34 : x
  2. Step 2: Convert to fraction form
    191,346.90/264,059.91 = 106,469.34/x
  3. Step 3: Cross multiply
    191,346.90x = 264,059.91 × 106,469.34
  4. Step 4: Simplify right side
    191,346.90x = 28,114,284,338.16
  5. Step 5: Solve for x
    x = 28,114,284,338.16/191,346.90
  6. Step 6: Final answer
    x = 146,928.35

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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.