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Finding the Fourth Proportional to 264,166.74, 364,550.10 and 150,991.92

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Solution

The fourth proportional to 264,166.74, 364,550.10 and 150,991.92 is: 208,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,166.74 : 364,550.10 = 150,991.92 : x
  2. Step 2: Convert to fraction form
    264,166.74/364,550.10 = 150,991.92/x
  3. Step 3: Cross multiply
    264,166.74x = 364,550.10 × 150,991.92
  4. Step 4: Simplify right side
    264,166.74x = 55,044,119,535.19
  5. Step 5: Solve for x
    x = 55,044,119,535.19/264,166.74
  6. Step 6: Final answer
    x = 208,368.85

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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.