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Finding the Fourth Proportional to 129,140.96, 178,206.36 and 75,441.20

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Solution

The fourth proportional to 129,140.96, 178,206.36 and 75,441.20 is: 104,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,140.96 : 178,206.36 = 75,441.20 : x
  2. Step 2: Convert to fraction form
    129,140.96/178,206.36 = 75,441.20/x
  3. Step 3: Cross multiply
    129,140.96x = 178,206.36 × 75,441.20
  4. Step 4: Simplify right side
    129,140.96x = 13,444,101,646.03
  5. Step 5: Solve for x
    x = 13,444,101,646.03/129,140.96
  6. Step 6: Final answer
    x = 104,104.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.