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Finding the Fourth Proportional to 176,535.75, 264,803.63 and 51,876.75

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Solution

The fourth proportional to 176,535.75, 264,803.63 and 51,876.75 is: 77,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,535.75 : 264,803.63 = 51,876.75 : x
  2. Step 2: Convert to fraction form
    176,535.75/264,803.63 = 51,876.75/x
  3. Step 3: Cross multiply
    176,535.75x = 264,803.63 × 51,876.75
  4. Step 4: Simplify right side
    176,535.75x = 13,737,151,453.22
  5. Step 5: Solve for x
    x = 13,737,151,453.22/176,535.75
  6. Step 6: Final answer
    x = 77,815.13

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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.