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Finding the Fourth Proportional to 176,538.20, 264,807.30 and 105,679.40

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Solution

The fourth proportional to 176,538.20, 264,807.30 and 105,679.40 is: 158,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.20 : 264,807.30 = 105,679.40 : x
  2. Step 2: Convert to fraction form
    176,538.20/264,807.30 = 105,679.40/x
  3. Step 3: Cross multiply
    176,538.20x = 264,807.30 × 105,679.40
  4. Step 4: Simplify right side
    176,538.20x = 27,984,676,579.62
  5. Step 5: Solve for x
    x = 27,984,676,579.62/176,538.20
  6. Step 6: Final answer
    x = 158,519.10

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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.