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Finding the Fourth Proportional to 176,844.80, 264,662.40 and 106,774.40

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Solution

The fourth proportional to 176,844.80, 264,662.40 and 106,774.40 is: 159,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,844.80 : 264,662.40 = 106,774.40 : x
  2. Step 2: Convert to fraction form
    176,844.80/264,662.40 = 106,774.40/x
  3. Step 3: Cross multiply
    176,844.80x = 264,662.40 × 106,774.40
  4. Step 4: Simplify right side
    176,844.80x = 28,259,168,962.56
  5. Step 5: Solve for x
    x = 28,259,168,962.56/176,844.80
  6. Step 6: Final answer
    x = 159,796.44

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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.