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Finding the Fourth Proportional to 264,039, 364,396.86 and 144,830.04

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Solution

The fourth proportional to 264,039, 364,396.86 and 144,830.04 is: 199,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,039 : 364,396.86 = 144,830.04 : x
  2. Step 2: Convert to fraction form
    264,039/364,396.86 = 144,830.04/x
  3. Step 3: Cross multiply
    264,039x = 364,396.86 × 144,830.04
  4. Step 4: Simplify right side
    264,039x = 52,775,611,809.67
  5. Step 5: Solve for x
    x = 52,775,611,809.67/264,039
  6. Step 6: Final answer
    x = 199,878.09

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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.