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Finding the Fourth Proportional to 192,242.96, 287,962.32 and 154,599.20

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Solution

The fourth proportional to 192,242.96, 287,962.32 and 154,599.20 is: 231,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,242.96 : 287,962.32 = 154,599.20 : x
  2. Step 2: Convert to fraction form
    192,242.96/287,962.32 = 154,599.20/x
  3. Step 3: Cross multiply
    192,242.96x = 287,962.32 × 154,599.20
  4. Step 4: Simplify right side
    192,242.96x = 44,518,744,302.14
  5. Step 5: Solve for x
    x = 44,518,744,302.14/192,242.96
  6. Step 6: Final answer
    x = 231,575.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.