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Finding the Fourth Proportional to 102,157.80, 140,977.38 and 59,707.80

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Solution

The fourth proportional to 102,157.80, 140,977.38 and 59,707.80 is: 82,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.80 : 140,977.38 = 59,707.80 : x
  2. Step 2: Convert to fraction form
    102,157.80/140,977.38 = 59,707.80/x
  3. Step 3: Cross multiply
    102,157.80x = 140,977.38 × 59,707.80
  4. Step 4: Simplify right side
    102,157.80x = 8,417,449,209.56
  5. Step 5: Solve for x
    x = 8,417,449,209.56/102,157.80
  6. Step 6: Final answer
    x = 82,396.54

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1.5x scale

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.