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Finding the Fourth Proportional to 180,421.36, 270,453.43 and 85,483.69

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Solution

The fourth proportional to 180,421.36, 270,453.43 and 85,483.69 is: 128,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,421.36 : 270,453.43 = 85,483.69 : x
  2. Step 2: Convert to fraction form
    180,421.36/270,453.43 = 85,483.69/x
  3. Step 3: Cross multiply
    180,421.36x = 270,453.43 × 85,483.69
  4. Step 4: Simplify right side
    180,421.36x = 23,119,356,600.28
  5. Step 5: Solve for x
    x = 23,119,356,600.28/180,421.36
  6. Step 6: Final answer
    x = 128,140.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.