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Finding the Fourth Proportional to 137,564.80, 206,347.20 and 90,325.60

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Solution

The fourth proportional to 137,564.80, 206,347.20 and 90,325.60 is: 135,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,564.80 : 206,347.20 = 90,325.60 : x
  2. Step 2: Convert to fraction form
    137,564.80/206,347.20 = 90,325.60/x
  3. Step 3: Cross multiply
    137,564.80x = 206,347.20 × 90,325.60
  4. Step 4: Simplify right side
    137,564.80x = 18,638,434,648.32
  5. Step 5: Solve for x
    x = 18,638,434,648.32/137,564.80
  6. Step 6: Final answer
    x = 135,488.40

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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.