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Finding the Fourth Proportional to 90,597.88, 135,834.81 and 46,138.60

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Solution

The fourth proportional to 90,597.88, 135,834.81 and 46,138.60 is: 69,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,597.88 : 135,834.81 = 46,138.60 : x
  2. Step 2: Convert to fraction form
    90,597.88/135,834.81 = 46,138.60/x
  3. Step 3: Cross multiply
    90,597.88x = 135,834.81 × 46,138.60
  4. Step 4: Simplify right side
    90,597.88x = 6,267,227,964.67
  5. Step 5: Solve for x
    x = 6,267,227,964.67/90,597.88
  6. Step 6: Final answer
    x = 69,176.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.