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Finding the Fourth Proportional to 115,264.08, 172,921.64 and 45,144

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Solution

The fourth proportional to 115,264.08, 172,921.64 and 45,144 is: 67,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264.08 : 172,921.64 = 45,144 : x
  2. Step 2: Convert to fraction form
    115,264.08/172,921.64 = 45,144/x
  3. Step 3: Cross multiply
    115,264.08x = 172,921.64 × 45,144
  4. Step 4: Simplify right side
    115,264.08x = 7,806,374,290.44
  5. Step 5: Solve for x
    x = 7,806,374,290.44/115,264.08
  6. Step 6: Final answer
    x = 67,725.99

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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.