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Finding the Fourth Proportional to 181,395.68, 271,641 and 114,634.40

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Solution

The fourth proportional to 181,395.68, 271,641 and 114,634.40 is: 171,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,395.68 : 271,641 = 114,634.40 : x
  2. Step 2: Convert to fraction form
    181,395.68/271,641 = 114,634.40/x
  3. Step 3: Cross multiply
    181,395.68x = 271,641 × 114,634.40
  4. Step 4: Simplify right side
    181,395.68x = 31,139,403,050.40
  5. Step 5: Solve for x
    x = 31,139,403,050.40/181,395.68
  6. Step 6: Final answer
    x = 171,665.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.