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Finding the Fourth Proportional to 101,348.16, 152,022.60 and 59,766

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Solution

The fourth proportional to 101,348.16, 152,022.60 and 59,766 is: 89,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,348.16 : 152,022.60 = 59,766 : x
  2. Step 2: Convert to fraction form
    101,348.16/152,022.60 = 59,766/x
  3. Step 3: Cross multiply
    101,348.16x = 152,022.60 × 59,766
  4. Step 4: Simplify right side
    101,348.16x = 9,085,782,711.60
  5. Step 5: Solve for x
    x = 9,085,782,711.60/101,348.16
  6. Step 6: Final answer
    x = 89,649.21

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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.