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Finding the Fourth Proportional to 264,507.42, 365,020.14 and 143,648.75

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Solution

The fourth proportional to 264,507.42, 365,020.14 and 143,648.75 is: 198,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507.42 : 365,020.14 = 143,648.75 : x
  2. Step 2: Convert to fraction form
    264,507.42/365,020.14 = 143,648.75/x
  3. Step 3: Cross multiply
    264,507.42x = 365,020.14 × 143,648.75
  4. Step 4: Simplify right side
    264,507.42x = 52,434,685,010.72
  5. Step 5: Solve for x
    x = 52,434,685,010.72/264,507.42
  6. Step 6: Final answer
    x = 198,235.21

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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.