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Finding the Fourth Proportional to 264,692, 365,274.96 and 145,460

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Solution

The fourth proportional to 264,692, 365,274.96 and 145,460 is: 200,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,692 : 365,274.96 = 145,460 : x
  2. Step 2: Convert to fraction form
    264,692/365,274.96 = 145,460/x
  3. Step 3: Cross multiply
    264,692x = 365,274.96 × 145,460
  4. Step 4: Simplify right side
    264,692x = 53,132,895,681.60
  5. Step 5: Solve for x
    x = 53,132,895,681.60/264,692
  6. Step 6: Final answer
    x = 200,734.80

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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.