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Finding the Fourth Proportional to 176,736.80, 264,932.40 and 71,415.20

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Solution

The fourth proportional to 176,736.80, 264,932.40 and 71,415.20 is: 107,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,736.80 : 264,932.40 = 71,415.20 : x
  2. Step 2: Convert to fraction form
    176,736.80/264,932.40 = 71,415.20/x
  3. Step 3: Cross multiply
    176,736.80x = 264,932.40 × 71,415.20
  4. Step 4: Simplify right side
    176,736.80x = 18,920,200,332.48
  5. Step 5: Solve for x
    x = 18,920,200,332.48/176,736.80
  6. Step 6: Final answer
    x = 107,052.98

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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.