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Finding the Fourth Proportional to 191,516.63, 264,297.80 and 106,631.87

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Solution

The fourth proportional to 191,516.63, 264,297.80 and 106,631.87 is: 147,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,516.63 : 264,297.80 = 106,631.87 : x
  2. Step 2: Convert to fraction form
    191,516.63/264,297.80 = 106,631.87/x
  3. Step 3: Cross multiply
    191,516.63x = 264,297.80 × 106,631.87
  4. Step 4: Simplify right side
    191,516.63x = 28,182,567,595.98
  5. Step 5: Solve for x
    x = 28,182,567,595.98/191,516.63
  6. Step 6: Final answer
    x = 147,154.68

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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.