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Finding the Fourth Proportional to 100,984.67, 139,352.51 and 55,660.16

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Solution

The fourth proportional to 100,984.67, 139,352.51 and 55,660.16 is: 76,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,984.67 : 139,352.51 = 55,660.16 : x
  2. Step 2: Convert to fraction form
    100,984.67/139,352.51 = 55,660.16/x
  3. Step 3: Cross multiply
    100,984.67x = 139,352.51 × 55,660.16
  4. Step 4: Simplify right side
    100,984.67x = 7,756,382,027.94
  5. Step 5: Solve for x
    x = 7,756,382,027.94/100,984.67
  6. Step 6: Final answer
    x = 76,807.52

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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.