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Finding the Fourth Proportional to 116,496.89, 174,811.70 and 45,410.28

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Solution

The fourth proportional to 116,496.89, 174,811.70 and 45,410.28 is: 68,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,496.89 : 174,811.70 = 45,410.28 : x
  2. Step 2: Convert to fraction form
    116,496.89/174,811.70 = 45,410.28/x
  3. Step 3: Cross multiply
    116,496.89x = 174,811.70 × 45,410.28
  4. Step 4: Simplify right side
    116,496.89x = 7,938,247,702.26
  5. Step 5: Solve for x
    x = 7,938,247,702.26/116,496.89
  6. Step 6: Final answer
    x = 68,141.29

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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.