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Finding the Fourth Proportional to 264,857.50, 365,503.41 and 145,625.50

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Solution

The fourth proportional to 264,857.50, 365,503.41 and 145,625.50 is: 200,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,857.50 : 365,503.41 = 145,625.50 : x
  2. Step 2: Convert to fraction form
    264,857.50/365,503.41 = 145,625.50/x
  3. Step 3: Cross multiply
    264,857.50x = 365,503.41 × 145,625.50
  4. Step 4: Simplify right side
    264,857.50x = 53,226,616,832.96
  5. Step 5: Solve for x
    x = 53,226,616,832.96/264,857.50
  6. Step 6: Final answer
    x = 200,963.22

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1.5x scale

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.