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Finding the Fourth Proportional to 176,465.52, 264,742.83 and 51,806.52

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Solution

The fourth proportional to 176,465.52, 264,742.83 and 51,806.52 is: 77,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,465.52 : 264,742.83 = 51,806.52 : x
  2. Step 2: Convert to fraction form
    176,465.52/264,742.83 = 51,806.52/x
  3. Step 3: Cross multiply
    176,465.52x = 264,742.83 × 51,806.52
  4. Step 4: Simplify right side
    176,465.52x = 13,715,404,717.25
  5. Step 5: Solve for x
    x = 13,715,404,717.25/176,465.52
  6. Step 6: Final answer
    x = 77,722.86

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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.