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Finding the Fourth Proportional to 180,408.40, 270,532.58 and 96,152.83

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Solution

The fourth proportional to 180,408.40, 270,532.58 and 96,152.83 is: 144,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,408.40 : 270,532.58 = 96,152.83 : x
  2. Step 2: Convert to fraction form
    180,408.40/270,532.58 = 96,152.83/x
  3. Step 3: Cross multiply
    180,408.40x = 270,532.58 × 96,152.83
  4. Step 4: Simplify right side
    180,408.40x = 26,012,472,017.11
  5. Step 5: Solve for x
    x = 26,012,472,017.11/180,408.40
  6. Step 6: Final answer
    x = 144,186.59

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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.