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Finding the Fourth Proportional to 180,189.60, 269,895.60 and 149,085.60

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Solution

The fourth proportional to 180,189.60, 269,895.60 and 149,085.60 is: 223,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,189.60 : 269,895.60 = 149,085.60 : x
  2. Step 2: Convert to fraction form
    180,189.60/269,895.60 = 149,085.60/x
  3. Step 3: Cross multiply
    180,189.60x = 269,895.60 × 149,085.60
  4. Step 4: Simplify right side
    180,189.60x = 40,237,547,463.36
  5. Step 5: Solve for x
    x = 40,237,547,463.36/180,189.60
  6. Step 6: Final answer
    x = 223,306.71

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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.