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Finding the Fourth Proportional to 191,917.61, 264,709.17 and 166,378.31

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Solution

The fourth proportional to 191,917.61, 264,709.17 and 166,378.31 is: 229,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,917.61 : 264,709.17 = 166,378.31 : x
  2. Step 2: Convert to fraction form
    191,917.61/264,709.17 = 166,378.31/x
  3. Step 3: Cross multiply
    191,917.61x = 264,709.17 × 166,378.31
  4. Step 4: Simplify right side
    191,917.61x = 44,041,864,346.10
  5. Step 5: Solve for x
    x = 44,041,864,346.10/191,917.61
  6. Step 6: Final answer
    x = 229,483.18

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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.