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Finding the Fourth Proportional to 160,649.26, 221,719.89 and 92,653.54

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Solution

The fourth proportional to 160,649.26, 221,719.89 and 92,653.54 is: 127,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,649.26 : 221,719.89 = 92,653.54 : x
  2. Step 2: Convert to fraction form
    160,649.26/221,719.89 = 92,653.54/x
  3. Step 3: Cross multiply
    160,649.26x = 221,719.89 × 92,653.54
  4. Step 4: Simplify right side
    160,649.26x = 20,543,132,696.91
  5. Step 5: Solve for x
    x = 20,543,132,696.91/160,649.26
  6. Step 6: Final answer
    x = 127,875.68

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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.