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Finding the Fourth Proportional to 191,782.87, 264,663.84 and 106,890.82

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Solution

The fourth proportional to 191,782.87, 264,663.84 and 106,890.82 is: 147,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,782.87 : 264,663.84 = 106,890.82 : x
  2. Step 2: Convert to fraction form
    191,782.87/264,663.84 = 106,890.82/x
  3. Step 3: Cross multiply
    191,782.87x = 264,663.84 × 106,890.82
  4. Step 4: Simplify right side
    191,782.87x = 28,290,134,881.95
  5. Step 5: Solve for x
    x = 28,290,134,881.95/191,782.87
  6. Step 6: Final answer
    x = 147,511.27

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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.