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Finding the Fourth Proportional to 176,550, 264,825 and 51,891

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Solution

The fourth proportional to 176,550, 264,825 and 51,891 is: 77,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,550 : 264,825 = 51,891 : x
  2. Step 2: Convert to fraction form
    176,550/264,825 = 51,891/x
  3. Step 3: Cross multiply
    176,550x = 264,825 × 51,891
  4. Step 4: Simplify right side
    176,550x = 13,742,034,075
  5. Step 5: Solve for x
    x = 13,742,034,075/176,550
  6. Step 6: Final answer
    x = 77,836.50

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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.