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Finding the Fourth Proportional to 191,456.49, 264,199.46 and 105,398.67

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Solution

The fourth proportional to 191,456.49, 264,199.46 and 105,398.67 is: 145,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,456.49 : 264,199.46 = 105,398.67 : x
  2. Step 2: Convert to fraction form
    191,456.49/264,199.46 = 105,398.67/x
  3. Step 3: Cross multiply
    191,456.49x = 264,199.46 × 105,398.67
  4. Step 4: Simplify right side
    191,456.49x = 27,846,271,171.72
  5. Step 5: Solve for x
    x = 27,846,271,171.72/191,456.49
  6. Step 6: Final answer
    x = 145,444.38

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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.