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Finding the Fourth Proportional to 91,460.80, 137,201.28 and 29,116.80

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Solution

The fourth proportional to 91,460.80, 137,201.28 and 29,116.80 is: 43,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,460.80 : 137,201.28 = 29,116.80 : x
  2. Step 2: Convert to fraction form
    91,460.80/137,201.28 = 29,116.80/x
  3. Step 3: Cross multiply
    91,460.80x = 137,201.28 × 29,116.80
  4. Step 4: Simplify right side
    91,460.80x = 3,994,862,229.50
  5. Step 5: Solve for x
    x = 3,994,862,229.50/91,460.80
  6. Step 6: Final answer
    x = 43,678.41

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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.