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Finding the Fourth Proportional to 180,243.10, 270,364.65 and 156,915.10

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Solution

The fourth proportional to 180,243.10, 270,364.65 and 156,915.10 is: 235,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,243.10 : 270,364.65 = 156,915.10 : x
  2. Step 2: Convert to fraction form
    180,243.10/270,364.65 = 156,915.10/x
  3. Step 3: Cross multiply
    180,243.10x = 270,364.65 × 156,915.10
  4. Step 4: Simplify right side
    180,243.10x = 42,424,296,091.22
  5. Step 5: Solve for x
    x = 42,424,296,091.22/180,243.10
  6. Step 6: Final answer
    x = 235,372.65

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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.