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Finding the Fourth Proportional to 260,372.91, 359,297.66 and 145,631.67

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Solution

The fourth proportional to 260,372.91, 359,297.66 and 145,631.67 is: 200,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,372.91 : 359,297.66 = 145,631.67 : x
  2. Step 2: Convert to fraction form
    260,372.91/359,297.66 = 145,631.67/x
  3. Step 3: Cross multiply
    260,372.91x = 359,297.66 × 145,631.67
  4. Step 4: Simplify right side
    260,372.91x = 52,325,118,252.89
  5. Step 5: Solve for x
    x = 52,325,118,252.89/260,372.91
  6. Step 6: Final answer
    x = 200,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.