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Finding the Fourth Proportional to 107,202.86, 147,949.03 and 59,471.58

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Solution

The fourth proportional to 107,202.86, 147,949.03 and 59,471.58 is: 82,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202.86 : 147,949.03 = 59,471.58 : x
  2. Step 2: Convert to fraction form
    107,202.86/147,949.03 = 59,471.58/x
  3. Step 3: Cross multiply
    107,202.86x = 147,949.03 × 59,471.58
  4. Step 4: Simplify right side
    107,202.86x = 8,798,763,202.72
  5. Step 5: Solve for x
    x = 8,798,763,202.72/107,202.86
  6. Step 6: Final answer
    x = 82,075.83

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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.