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Finding the Fourth Proportional to 116,291.30, 174,437.62 and 41,414.36

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Solution

The fourth proportional to 116,291.30, 174,437.62 and 41,414.36 is: 62,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,291.30 : 174,437.62 = 41,414.36 : x
  2. Step 2: Convert to fraction form
    116,291.30/174,437.62 = 41,414.36/x
  3. Step 3: Cross multiply
    116,291.30x = 174,437.62 × 41,414.36
  4. Step 4: Simplify right side
    116,291.30x = 7,224,221,416.50
  5. Step 5: Solve for x
    x = 7,224,221,416.50/116,291.30
  6. Step 6: Final answer
    x = 62,121.77

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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.