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Finding the Fourth Proportional to 264,529.38, 365,053.16 and 143,671.80

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Solution

The fourth proportional to 264,529.38, 365,053.16 and 143,671.80 is: 198,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,529.38 : 365,053.16 = 143,671.80 : x
  2. Step 2: Convert to fraction form
    264,529.38/365,053.16 = 143,671.80/x
  3. Step 3: Cross multiply
    264,529.38x = 365,053.16 × 143,671.80
  4. Step 4: Simplify right side
    264,529.38x = 52,447,844,592.89
  5. Step 5: Solve for x
    x = 52,447,844,592.89/264,529.38
  6. Step 6: Final answer
    x = 198,268.50

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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.