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Finding the Fourth Proportional to 137,454.24, 205,831.35 and 90,564.96

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Solution

The fourth proportional to 137,454.24, 205,831.35 and 90,564.96 is: 135,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,454.24 : 205,831.35 = 90,564.96 : x
  2. Step 2: Convert to fraction form
    137,454.24/205,831.35 = 90,564.96/x
  3. Step 3: Cross multiply
    137,454.24x = 205,831.35 × 90,564.96
  4. Step 4: Simplify right side
    137,454.24x = 18,641,107,979.50
  5. Step 5: Solve for x
    x = 18,641,107,979.50/137,454.24
  6. Step 6: Final answer
    x = 135,616.83

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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.