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Finding the Fourth Proportional to 176,182.38, 264,272.76 and 49,822.38

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Solution

The fourth proportional to 176,182.38, 264,272.76 and 49,822.38 is: 74,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,182.38 : 264,272.76 = 49,822.38 : x
  2. Step 2: Convert to fraction form
    176,182.38/264,272.76 = 49,822.38/x
  3. Step 3: Cross multiply
    176,182.38x = 264,272.76 × 49,822.38
  4. Step 4: Simplify right side
    176,182.38x = 13,166,697,872.37
  5. Step 5: Solve for x
    x = 13,166,697,872.37/176,182.38
  6. Step 6: Final answer
    x = 74,733.34

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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.