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Finding the Fourth Proportional to 101,762.12, 140,440.11 and 56,454.68

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Solution

The fourth proportional to 101,762.12, 140,440.11 and 56,454.68 is: 77,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.12 : 140,440.11 = 56,454.68 : x
  2. Step 2: Convert to fraction form
    101,762.12/140,440.11 = 56,454.68/x
  3. Step 3: Cross multiply
    101,762.12x = 140,440.11 × 56,454.68
  4. Step 4: Simplify right side
    101,762.12x = 7,928,501,469.21
  5. Step 5: Solve for x
    x = 7,928,501,469.21/101,762.12
  6. Step 6: Final answer
    x = 77,912.11

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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.