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Finding the Fourth Proportional to 264,978.94, 365,675.64 and 144,122.86

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Solution

The fourth proportional to 264,978.94, 365,675.64 and 144,122.86 is: 198,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,978.94 : 365,675.64 = 144,122.86 : x
  2. Step 2: Convert to fraction form
    264,978.94/365,675.64 = 144,122.86/x
  3. Step 3: Cross multiply
    264,978.94x = 365,675.64 × 144,122.86
  4. Step 4: Simplify right side
    264,978.94x = 52,702,219,069.13
  5. Step 5: Solve for x
    x = 52,702,219,069.13/264,978.94
  6. Step 6: Final answer
    x = 198,892.10

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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.