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Finding the Fourth Proportional to 191,769.98, 264,643.80 and 106,892.42

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Solution

The fourth proportional to 191,769.98, 264,643.80 and 106,892.42 is: 147,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,769.98 : 264,643.80 = 106,892.42 : x
  2. Step 2: Convert to fraction form
    191,769.98/264,643.80 = 106,892.42/x
  3. Step 3: Cross multiply
    191,769.98x = 264,643.80 × 106,892.42
  4. Step 4: Simplify right side
    191,769.98x = 28,288,416,220.00
  5. Step 5: Solve for x
    x = 28,288,416,220.00/191,769.98
  6. Step 6: Final answer
    x = 147,512.22

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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.