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Finding the Fourth Proportional to 182,905.20, 274,239.40 and 77,695.60

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Solution

The fourth proportional to 182,905.20, 274,239.40 and 77,695.60 is: 116,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,905.20 : 274,239.40 = 77,695.60 : x
  2. Step 2: Convert to fraction form
    182,905.20/274,239.40 = 77,695.60/x
  3. Step 3: Cross multiply
    182,905.20x = 274,239.40 × 77,695.60
  4. Step 4: Simplify right side
    182,905.20x = 21,307,194,726.64
  5. Step 5: Solve for x
    x = 21,307,194,726.64/182,905.20
  6. Step 6: Final answer
    x = 116,493.11

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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.