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Finding the Fourth Proportional to 137,280.49, 205,920.77 and 90,193.16

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Solution

The fourth proportional to 137,280.49, 205,920.77 and 90,193.16 is: 135,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280.49 : 205,920.77 = 90,193.16 : x
  2. Step 2: Convert to fraction form
    137,280.49/205,920.77 = 90,193.16/x
  3. Step 3: Cross multiply
    137,280.49x = 205,920.77 × 90,193.16
  4. Step 4: Simplify right side
    137,280.49x = 18,572,645,019.77
  5. Step 5: Solve for x
    x = 18,572,645,019.77/137,280.49
  6. Step 6: Final answer
    x = 135,289.77

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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.