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Finding the Fourth Proportional to 191,674.78, 264,513.01 and 105,636.91

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Solution

The fourth proportional to 191,674.78, 264,513.01 and 105,636.91 is: 145,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,674.78 : 264,513.01 = 105,636.91 : x
  2. Step 2: Convert to fraction form
    191,674.78/264,513.01 = 105,636.91/x
  3. Step 3: Cross multiply
    191,674.78x = 264,513.01 × 105,636.91
  4. Step 4: Simplify right side
    191,674.78x = 27,942,337,031.20
  5. Step 5: Solve for x
    x = 27,942,337,031.20/191,674.78
  6. Step 6: Final answer
    x = 145,779.94

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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.