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Finding the Fourth Proportional to 115,334.63, 172,982 and 52,140.06

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Solution

The fourth proportional to 115,334.63, 172,982 and 52,140.06 is: 78,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,334.63 : 172,982 = 52,140.06 : x
  2. Step 2: Convert to fraction form
    115,334.63/172,982 = 52,140.06/x
  3. Step 3: Cross multiply
    115,334.63x = 172,982 × 52,140.06
  4. Step 4: Simplify right side
    115,334.63x = 9,019,291,858.92
  5. Step 5: Solve for x
    x = 9,019,291,858.92/115,334.63
  6. Step 6: Final answer
    x = 78,201.07

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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.