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Finding the Fourth Proportional to 264,767.19, 365,381.13 and 143,908.75

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Solution

The fourth proportional to 264,767.19, 365,381.13 and 143,908.75 is: 198,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,767.19 : 365,381.13 = 143,908.75 : x
  2. Step 2: Convert to fraction form
    264,767.19/365,381.13 = 143,908.75/x
  3. Step 3: Cross multiply
    264,767.19x = 365,381.13 × 143,908.75
  4. Step 4: Simplify right side
    264,767.19x = 52,581,541,691.89
  5. Step 5: Solve for x
    x = 52,581,541,691.89/264,767.19
  6. Step 6: Final answer
    x = 198,595.38

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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.