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Finding the Fourth Proportional to 174,006.69, 260,967.50 and 55,653.54

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Solution

The fourth proportional to 174,006.69, 260,967.50 and 55,653.54 is: 83,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,006.69 : 260,967.50 = 55,653.54 : x
  2. Step 2: Convert to fraction form
    174,006.69/260,967.50 = 55,653.54/x
  3. Step 3: Cross multiply
    174,006.69x = 260,967.50 × 55,653.54
  4. Step 4: Simplify right side
    174,006.69x = 14,523,765,199.95
  5. Step 5: Solve for x
    x = 14,523,765,199.95/174,006.69
  6. Step 6: Final answer
    x = 83,466.71

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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.