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Finding the Fourth Proportional to 173,899.92, 260,464.53 and 133,622.40

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Solution

The fourth proportional to 173,899.92, 260,464.53 and 133,622.40 is: 200,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,899.92 : 260,464.53 = 133,622.40 : x
  2. Step 2: Convert to fraction form
    173,899.92/260,464.53 = 133,622.40/x
  3. Step 3: Cross multiply
    173,899.92x = 260,464.53 × 133,622.40
  4. Step 4: Simplify right side
    173,899.92x = 34,803,895,613.47
  5. Step 5: Solve for x
    x = 34,803,895,613.47/173,899.92
  6. Step 6: Final answer
    x = 200,137.50

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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.