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Finding the Fourth Proportional to 102,519.72, 141,478.38 and 57,807.72

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Solution

The fourth proportional to 102,519.72, 141,478.38 and 57,807.72 is: 79,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519.72 : 141,478.38 = 57,807.72 : x
  2. Step 2: Convert to fraction form
    102,519.72/141,478.38 = 57,807.72/x
  3. Step 3: Cross multiply
    102,519.72x = 141,478.38 × 57,807.72
  4. Step 4: Simplify right side
    102,519.72x = 8,178,542,577.09
  5. Step 5: Solve for x
    x = 8,178,542,577.09/102,519.72
  6. Step 6: Final answer
    x = 79,775.31

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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.