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Finding the Fourth Proportional to 269,537, 372,080.64 and 174,090.24

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Solution

The fourth proportional to 269,537, 372,080.64 and 174,090.24 is: 240,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,537 : 372,080.64 = 174,090.24 : x
  2. Step 2: Convert to fraction form
    269,537/372,080.64 = 174,090.24/x
  3. Step 3: Cross multiply
    269,537x = 372,080.64 × 174,090.24
  4. Step 4: Simplify right side
    269,537x = 64,775,607,916.95
  5. Step 5: Solve for x
    x = 64,775,607,916.95/269,537
  6. Step 6: Final answer
    x = 240,321.77

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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.