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Finding the Fourth Proportional to 264,953.97, 365,632.94 and 144,092.66

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Solution

The fourth proportional to 264,953.97, 365,632.94 and 144,092.66 is: 198,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,953.97 : 365,632.94 = 144,092.66 : x
  2. Step 2: Convert to fraction form
    264,953.97/365,632.94 = 144,092.66/x
  3. Step 3: Cross multiply
    264,953.97x = 365,632.94 × 144,092.66
  4. Step 4: Simplify right side
    264,953.97x = 52,685,021,440.29
  5. Step 5: Solve for x
    x = 52,685,021,440.29/264,953.97
  6. Step 6: Final answer
    x = 198,845.94

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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.