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Finding the Fourth Proportional to 220,696, 304,560.48 and 120,094.72

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Solution

The fourth proportional to 220,696, 304,560.48 and 120,094.72 is: 165,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,696 : 304,560.48 = 120,094.72 : x
  2. Step 2: Convert to fraction form
    220,696/304,560.48 = 120,094.72/x
  3. Step 3: Cross multiply
    220,696x = 304,560.48 × 120,094.72
  4. Step 4: Simplify right side
    220,696x = 36,576,105,568.67
  5. Step 5: Solve for x
    x = 36,576,105,568.67/220,696
  6. Step 6: Final answer
    x = 165,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.