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Finding the Fourth Proportional to 144,229.36, 216,050.28 and 117,670

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Solution

The fourth proportional to 144,229.36, 216,050.28 and 117,670 is: 176,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,229.36 : 216,050.28 = 117,670 : x
  2. Step 2: Convert to fraction form
    144,229.36/216,050.28 = 117,670/x
  3. Step 3: Cross multiply
    144,229.36x = 216,050.28 × 117,670
  4. Step 4: Simplify right side
    144,229.36x = 25,422,636,447.60
  5. Step 5: Solve for x
    x = 25,422,636,447.60/144,229.36
  6. Step 6: Final answer
    x = 176,265.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.