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Finding the Fourth Proportional to 180,389.20, 270,503.81 and 96,133.66

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Solution

The fourth proportional to 180,389.20, 270,503.81 and 96,133.66 is: 144,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.20 : 270,503.81 = 96,133.66 : x
  2. Step 2: Convert to fraction form
    180,389.20/270,503.81 = 96,133.66/x
  3. Step 3: Cross multiply
    180,389.20x = 270,503.81 × 96,133.66
  4. Step 4: Simplify right side
    180,389.20x = 26,004,520,502.82
  5. Step 5: Solve for x
    x = 26,004,520,502.82/180,389.20
  6. Step 6: Final answer
    x = 144,157.86

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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.