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Finding the Fourth Proportional to 117,768.30, 176,458.05 and 100,272.30

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Solution

The fourth proportional to 117,768.30, 176,458.05 and 100,272.30 is: 150,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,768.30 : 176,458.05 = 100,272.30 : x
  2. Step 2: Convert to fraction form
    117,768.30/176,458.05 = 100,272.30/x
  3. Step 3: Cross multiply
    117,768.30x = 176,458.05 × 100,272.30
  4. Step 4: Simplify right side
    117,768.30x = 17,693,854,527.02
  5. Step 5: Solve for x
    x = 17,693,854,527.02/117,768.30
  6. Step 6: Final answer
    x = 150,242.93

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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.