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Finding the Fourth Proportional to 176,164.41, 264,255.83 and 49,813.90

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Solution

The fourth proportional to 176,164.41, 264,255.83 and 49,813.90 is: 74,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,164.41 : 264,255.83 = 49,813.90 : x
  2. Step 2: Convert to fraction form
    176,164.41/264,255.83 = 49,813.90/x
  3. Step 3: Cross multiply
    176,164.41x = 264,255.83 × 49,813.90
  4. Step 4: Simplify right side
    176,164.41x = 13,163,612,953.93
  5. Step 5: Solve for x
    x = 13,163,612,953.93/176,164.41
  6. Step 6: Final answer
    x = 74,723.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.