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Finding the Fourth Proportional to 264,965, 365,657.46 and 145,733

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Solution

The fourth proportional to 264,965, 365,657.46 and 145,733 is: 201,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,965 : 365,657.46 = 145,733 : x
  2. Step 2: Convert to fraction form
    264,965/365,657.46 = 145,733/x
  3. Step 3: Cross multiply
    264,965x = 365,657.46 × 145,733
  4. Step 4: Simplify right side
    264,965x = 53,288,358,618.18
  5. Step 5: Solve for x
    x = 53,288,358,618.18/264,965
  6. Step 6: Final answer
    x = 201,114.71

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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.