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Finding the Fourth Proportional to 147,310.69, 203,290.14 and 83,649.82

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Solution

The fourth proportional to 147,310.69, 203,290.14 and 83,649.82 is: 115,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,310.69 : 203,290.14 = 83,649.82 : x
  2. Step 2: Convert to fraction form
    147,310.69/203,290.14 = 83,649.82/x
  3. Step 3: Cross multiply
    147,310.69x = 203,290.14 × 83,649.82
  4. Step 4: Simplify right side
    147,310.69x = 17,005,183,618.77
  5. Step 5: Solve for x
    x = 17,005,183,618.77/147,310.69
  6. Step 6: Final answer
    x = 115,437.54

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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.