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Finding the Fourth Proportional to 176,896.80, 264,907.80 and 117,410.40

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Solution

The fourth proportional to 176,896.80, 264,907.80 and 117,410.40 is: 175,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,896.80 : 264,907.80 = 117,410.40 : x
  2. Step 2: Convert to fraction form
    176,896.80/264,907.80 = 117,410.40/x
  3. Step 3: Cross multiply
    176,896.80x = 264,907.80 × 117,410.40
  4. Step 4: Simplify right side
    176,896.80x = 31,102,930,761.12
  5. Step 5: Solve for x
    x = 31,102,930,761.12/176,896.80
  6. Step 6: Final answer
    x = 175,825.29

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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.