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Finding the Fourth Proportional to 82,200.53, 113,438.54 and 45,406.67

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Solution

The fourth proportional to 82,200.53, 113,438.54 and 45,406.67 is: 62,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.53 : 113,438.54 = 45,406.67 : x
  2. Step 2: Convert to fraction form
    82,200.53/113,438.54 = 45,406.67/x
  3. Step 3: Cross multiply
    82,200.53x = 113,438.54 × 45,406.67
  4. Step 4: Simplify right side
    82,200.53x = 5,150,865,897.39
  5. Step 5: Solve for x
    x = 5,150,865,897.39/82,200.53
  6. Step 6: Final answer
    x = 62,662.20

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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.