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Finding the Fourth Proportional to 115,333.63, 172,980.50 and 52,139.06

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Solution

The fourth proportional to 115,333.63, 172,980.50 and 52,139.06 is: 78,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,333.63 : 172,980.50 = 52,139.06 : x
  2. Step 2: Convert to fraction form
    115,333.63/172,980.50 = 52,139.06/x
  3. Step 3: Cross multiply
    115,333.63x = 172,980.50 × 52,139.06
  4. Step 4: Simplify right side
    115,333.63x = 9,019,040,241.44
  5. Step 5: Solve for x
    x = 9,019,040,241.44/115,333.63
  6. Step 6: Final answer
    x = 78,199.57

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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.