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Finding the Fourth Proportional to 265,266.24, 366,056.16 and 144,405

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Solution

The fourth proportional to 265,266.24, 366,056.16 and 144,405 is: 199,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,266.24 : 366,056.16 = 144,405 : x
  2. Step 2: Convert to fraction form
    265,266.24/366,056.16 = 144,405/x
  3. Step 3: Cross multiply
    265,266.24x = 366,056.16 × 144,405
  4. Step 4: Simplify right side
    265,266.24x = 52,860,339,784.80
  5. Step 5: Solve for x
    x = 52,860,339,784.80/265,266.24
  6. Step 6: Final answer
    x = 199,272.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.