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Finding the Fourth Proportional to 191,754.24, 264,595.92 and 111,164.64

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Solution

The fourth proportional to 191,754.24, 264,595.92 and 111,164.64 is: 153,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,754.24 : 264,595.92 = 111,164.64 : x
  2. Step 2: Convert to fraction form
    191,754.24/264,595.92 = 111,164.64/x
  3. Step 3: Cross multiply
    191,754.24x = 264,595.92 × 111,164.64
  4. Step 4: Simplify right side
    191,754.24x = 29,413,710,192.27
  5. Step 5: Solve for x
    x = 29,413,710,192.27/191,754.24
  6. Step 6: Final answer
    x = 153,392.75

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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.