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Finding the Fourth Proportional to 192,884.80, 287,881.16 and 180,287.68

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Solution

The fourth proportional to 192,884.80, 287,881.16 and 180,287.68 is: 269,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,884.80 : 287,881.16 = 180,287.68 : x
  2. Step 2: Convert to fraction form
    192,884.80/287,881.16 = 180,287.68/x
  3. Step 3: Cross multiply
    192,884.80x = 287,881.16 × 180,287.68
  4. Step 4: Simplify right side
    192,884.80x = 51,901,426,452.11
  5. Step 5: Solve for x
    x = 51,901,426,452.11/192,884.80
  6. Step 6: Final answer
    x = 269,079.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.