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Finding the Fourth Proportional to 178,133.88, 266,829.04 and 106,830.39

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Solution

The fourth proportional to 178,133.88, 266,829.04 and 106,830.39 is: 160,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,133.88 : 266,829.04 = 106,830.39 : x
  2. Step 2: Convert to fraction form
    178,133.88/266,829.04 = 106,830.39/x
  3. Step 3: Cross multiply
    178,133.88x = 266,829.04 × 106,830.39
  4. Step 4: Simplify right side
    178,133.88x = 28,505,450,939.75
  5. Step 5: Solve for x
    x = 28,505,450,939.75/178,133.88
  6. Step 6: Final answer
    x = 160,022.62

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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.