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Finding the Fourth Proportional to 180,390.70, 270,506.06 and 96,135.16

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Solution

The fourth proportional to 180,390.70, 270,506.06 and 96,135.16 is: 144,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,390.70 : 270,506.06 = 96,135.16 : x
  2. Step 2: Convert to fraction form
    180,390.70/270,506.06 = 96,135.16/x
  3. Step 3: Cross multiply
    180,390.70x = 270,506.06 × 96,135.16
  4. Step 4: Simplify right side
    180,390.70x = 26,005,143,359.07
  5. Step 5: Solve for x
    x = 26,005,143,359.07/180,390.70
  6. Step 6: Final answer
    x = 144,160.11

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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.