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Finding the Fourth Proportional to 264,646.65, 365,200.47 and 149,922.95

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Solution

The fourth proportional to 264,646.65, 365,200.47 and 149,922.95 is: 206,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,646.65 : 365,200.47 = 149,922.95 : x
  2. Step 2: Convert to fraction form
    264,646.65/365,200.47 = 149,922.95/x
  3. Step 3: Cross multiply
    264,646.65x = 365,200.47 × 149,922.95
  4. Step 4: Simplify right side
    264,646.65x = 54,751,929,977.78
  5. Step 5: Solve for x
    x = 54,751,929,977.78/264,646.65
  6. Step 6: Final answer
    x = 206,886.92

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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.