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Finding the Fourth Proportional to 183,498, 275,293.24 and 52,170

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Solution

The fourth proportional to 183,498, 275,293.24 and 52,170 is: 78,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,498 : 275,293.24 = 52,170 : x
  2. Step 2: Convert to fraction form
    183,498/275,293.24 = 52,170/x
  3. Step 3: Cross multiply
    183,498x = 275,293.24 × 52,170
  4. Step 4: Simplify right side
    183,498x = 14,362,048,330.80
  5. Step 5: Solve for x
    x = 14,362,048,330.80/183,498
  6. Step 6: Final answer
    x = 78,268.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.