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Finding the Fourth Proportional to 130,441.39, 180,028.14 and 73,084.58

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Solution

The fourth proportional to 130,441.39, 180,028.14 and 73,084.58 is: 100,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,441.39 : 180,028.14 = 73,084.58 : x
  2. Step 2: Convert to fraction form
    130,441.39/180,028.14 = 73,084.58/x
  3. Step 3: Cross multiply
    130,441.39x = 180,028.14 × 73,084.58
  4. Step 4: Simplify right side
    130,441.39x = 13,157,280,500.98
  5. Step 5: Solve for x
    x = 13,157,280,500.98/130,441.39
  6. Step 6: Final answer
    x = 100,867.38

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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.