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Finding the Fourth Proportional to 178,998.36, 268,503.54 and 54,339

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Solution

The fourth proportional to 178,998.36, 268,503.54 and 54,339 is: 81,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,998.36 : 268,503.54 = 54,339 : x
  2. Step 2: Convert to fraction form
    178,998.36/268,503.54 = 54,339/x
  3. Step 3: Cross multiply
    178,998.36x = 268,503.54 × 54,339
  4. Step 4: Simplify right side
    178,998.36x = 14,590,213,860.06
  5. Step 5: Solve for x
    x = 14,590,213,860.06/178,998.36
  6. Step 6: Final answer
    x = 81,510.32

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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.