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Finding the Fourth Proportional to 173,145.10, 259,754.10 and 54,828.40

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Solution

The fourth proportional to 173,145.10, 259,754.10 and 54,828.40 is: 82,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,145.10 : 259,754.10 = 54,828.40 : x
  2. Step 2: Convert to fraction form
    173,145.10/259,754.10 = 54,828.40/x
  3. Step 3: Cross multiply
    173,145.10x = 259,754.10 × 54,828.40
  4. Step 4: Simplify right side
    173,145.10x = 14,241,901,696.44
  5. Step 5: Solve for x
    x = 14,241,901,696.44/173,145.10
  6. Step 6: Final answer
    x = 82,254.14

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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.