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Finding the Fourth Proportional to 264,764, 365,374.32 and 145,532

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Solution

The fourth proportional to 264,764, 365,374.32 and 145,532 is: 200,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,764 : 365,374.32 = 145,532 : x
  2. Step 2: Convert to fraction form
    264,764/365,374.32 = 145,532/x
  3. Step 3: Cross multiply
    264,764x = 365,374.32 × 145,532
  4. Step 4: Simplify right side
    264,764x = 53,173,655,538.24
  5. Step 5: Solve for x
    x = 53,173,655,538.24/264,764
  6. Step 6: Final answer
    x = 200,834.16

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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.