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Finding the Fourth Proportional to 104,472, 144,180 and 59,768.64

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Solution

The fourth proportional to 104,472, 144,180 and 59,768.64 is: 82,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,472 : 144,180 = 59,768.64 : x
  2. Step 2: Convert to fraction form
    104,472/144,180 = 59,768.64/x
  3. Step 3: Cross multiply
    104,472x = 144,180 × 59,768.64
  4. Step 4: Simplify right side
    104,472x = 8,617,442,515.20
  5. Step 5: Solve for x
    x = 8,617,442,515.20/104,472
  6. Step 6: Final answer
    x = 82,485.67

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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.