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Finding the Fourth Proportional to 176,276.40, 264,382.20 and 109,597.20

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Solution

The fourth proportional to 176,276.40, 264,382.20 and 109,597.20 is: 164,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,276.40 : 264,382.20 = 109,597.20 : x
  2. Step 2: Convert to fraction form
    176,276.40/264,382.20 = 109,597.20/x
  3. Step 3: Cross multiply
    176,276.40x = 264,382.20 × 109,597.20
  4. Step 4: Simplify right side
    176,276.40x = 28,975,548,849.84
  5. Step 5: Solve for x
    x = 28,975,548,849.84/176,276.40
  6. Step 6: Final answer
    x = 164,375.66

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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.