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Finding the Fourth Proportional to 102,252, 141,107.76 and 57,540.96

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Solution

The fourth proportional to 102,252, 141,107.76 and 57,540.96 is: 79,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,252 : 141,107.76 = 57,540.96 : x
  2. Step 2: Convert to fraction form
    102,252/141,107.76 = 57,540.96/x
  3. Step 3: Cross multiply
    102,252x = 141,107.76 × 57,540.96
  4. Step 4: Simplify right side
    102,252x = 8,119,475,973.85
  5. Step 5: Solve for x
    x = 8,119,475,973.85/102,252
  6. Step 6: Final answer
    x = 79,406.52

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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.