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Finding the Fourth Proportional to 192,845.36, 266,153.10 and 116,368.40

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Solution

The fourth proportional to 192,845.36, 266,153.10 and 116,368.40 is: 160,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,845.36 : 266,153.10 = 116,368.40 : x
  2. Step 2: Convert to fraction form
    192,845.36/266,153.10 = 116,368.40/x
  3. Step 3: Cross multiply
    192,845.36x = 266,153.10 × 116,368.40
  4. Step 4: Simplify right side
    192,845.36x = 30,971,810,402.04
  5. Step 5: Solve for x
    x = 30,971,810,402.04/192,845.36
  6. Step 6: Final answer
    x = 160,604.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.