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Finding the Fourth Proportional to 191,679.82, 264,563.23 and 119,137.50

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Solution

The fourth proportional to 191,679.82, 264,563.23 and 119,137.50 is: 164,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,679.82 : 264,563.23 = 119,137.50 : x
  2. Step 2: Convert to fraction form
    191,679.82/264,563.23 = 119,137.50/x
  3. Step 3: Cross multiply
    191,679.82x = 264,563.23 × 119,137.50
  4. Step 4: Simplify right side
    191,679.82x = 31,519,402,074.74
  5. Step 5: Solve for x
    x = 31,519,402,074.74/191,679.82
  6. Step 6: Final answer
    x = 164,437.77

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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.