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Finding the Fourth Proportional to 102,464.98, 141,401.38 and 57,143.01

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Solution

The fourth proportional to 102,464.98, 141,401.38 and 57,143.01 is: 78,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464.98 : 141,401.38 = 57,143.01 : x
  2. Step 2: Convert to fraction form
    102,464.98/141,401.38 = 57,143.01/x
  3. Step 3: Cross multiply
    102,464.98x = 141,401.38 × 57,143.01
  4. Step 4: Simplify right side
    102,464.98x = 8,080,100,471.35
  5. Step 5: Solve for x
    x = 8,080,100,471.35/102,464.98
  6. Step 6: Final answer
    x = 78,857.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.