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Finding the Fourth Proportional to 178,008.77, 266,828.61 and 111,295.72

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Solution

The fourth proportional to 178,008.77, 266,828.61 and 111,295.72 is: 166,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.77 : 266,828.61 = 111,295.72 : x
  2. Step 2: Convert to fraction form
    178,008.77/266,828.61 = 111,295.72/x
  3. Step 3: Cross multiply
    178,008.77x = 266,828.61 × 111,295.72
  4. Step 4: Simplify right side
    178,008.77x = 29,696,883,017.44
  5. Step 5: Solve for x
    x = 29,696,883,017.44/178,008.77
  6. Step 6: Final answer
    x = 166,828.20

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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.