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Finding the Fourth Proportional to 264,864.50, 365,513.08 and 145,632.50

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Solution

The fourth proportional to 264,864.50, 365,513.08 and 145,632.50 is: 200,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864.50 : 365,513.08 = 145,632.50 : x
  2. Step 2: Convert to fraction form
    264,864.50/365,513.08 = 145,632.50/x
  3. Step 3: Cross multiply
    264,864.50x = 365,513.08 × 145,632.50
  4. Step 4: Simplify right side
    264,864.50x = 53,230,583,623.10
  5. Step 5: Solve for x
    x = 53,230,583,623.10/264,864.50
  6. Step 6: Final answer
    x = 200,972.89

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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.