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Finding the Fourth Proportional to 90,205.10, 135,319.80 and 31,058.90

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Solution

The fourth proportional to 90,205.10, 135,319.80 and 31,058.90 is: 46,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,205.10 : 135,319.80 = 31,058.90 : x
  2. Step 2: Convert to fraction form
    90,205.10/135,319.80 = 31,058.90/x
  3. Step 3: Cross multiply
    90,205.10x = 135,319.80 × 31,058.90
  4. Step 4: Simplify right side
    90,205.10x = 4,202,884,136.22
  5. Step 5: Solve for x
    x = 4,202,884,136.22/90,205.10
  6. Step 6: Final answer
    x = 46,592.53

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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.