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Finding the Fourth Proportional to 176,135.81, 264,219.78 and 49,777.88

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Solution

The fourth proportional to 176,135.81, 264,219.78 and 49,777.88 is: 74,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,135.81 : 264,219.78 = 49,777.88 : x
  2. Step 2: Convert to fraction form
    176,135.81/264,219.78 = 49,777.88/x
  3. Step 3: Cross multiply
    176,135.81x = 264,219.78 × 49,777.88
  4. Step 4: Simplify right side
    176,135.81x = 13,152,299,181.37
  5. Step 5: Solve for x
    x = 13,152,299,181.37/176,135.81
  6. Step 6: Final answer
    x = 74,671.35

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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.