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Finding the Fourth Proportional to 183,830.76, 275,675.04 and 71,495.80

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Solution

The fourth proportional to 183,830.76, 275,675.04 and 71,495.80 is: 107,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,830.76 : 275,675.04 = 71,495.80 : x
  2. Step 2: Convert to fraction form
    183,830.76/275,675.04 = 71,495.80/x
  3. Step 3: Cross multiply
    183,830.76x = 275,675.04 × 71,495.80
  4. Step 4: Simplify right side
    183,830.76x = 19,709,607,524.83
  5. Step 5: Solve for x
    x = 19,709,607,524.83/183,830.76
  6. Step 6: Final answer
    x = 107,216.05

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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.