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Finding the Fourth Proportional to 176,403.69, 264,614.18 and 51,734.25

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Solution

The fourth proportional to 176,403.69, 264,614.18 and 51,734.25 is: 77,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,403.69 : 264,614.18 = 51,734.25 : x
  2. Step 2: Convert to fraction form
    176,403.69/264,614.18 = 51,734.25/x
  3. Step 3: Cross multiply
    176,403.69x = 264,614.18 × 51,734.25
  4. Step 4: Simplify right side
    176,403.69x = 13,689,615,882.99
  5. Step 5: Solve for x
    x = 13,689,615,882.99/176,403.69
  6. Step 6: Final answer
    x = 77,603.91

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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.