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Finding the Fourth Proportional to 117,567.86, 176,578.65 and 100,738.89

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Solution

The fourth proportional to 117,567.86, 176,578.65 and 100,738.89 is: 151,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,567.86 : 176,578.65 = 100,738.89 : x
  2. Step 2: Convert to fraction form
    117,567.86/176,578.65 = 100,738.89/x
  3. Step 3: Cross multiply
    117,567.86x = 176,578.65 × 100,738.89
  4. Step 4: Simplify right side
    117,567.86x = 17,788,337,198.70
  5. Step 5: Solve for x
    x = 17,788,337,198.70/117,567.86
  6. Step 6: Final answer
    x = 151,302.73

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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.