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Finding the Fourth Proportional to 231,295.63, 319,091.28 and 180,219.69

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Solution

The fourth proportional to 231,295.63, 319,091.28 and 180,219.69 is: 248,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,295.63 : 319,091.28 = 180,219.69 : x
  2. Step 2: Convert to fraction form
    231,295.63/319,091.28 = 180,219.69/x
  3. Step 3: Cross multiply
    231,295.63x = 319,091.28 × 180,219.69
  4. Step 4: Simplify right side
    231,295.63x = 57,506,529,794.75
  5. Step 5: Solve for x
    x = 57,506,529,794.75/231,295.63
  6. Step 6: Final answer
    x = 248,627.83

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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.