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Finding the Fourth Proportional to 308,961, 463,444.34 and 121,972.50

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Solution

The fourth proportional to 308,961, 463,444.34 and 121,972.50 is: 182,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,961 : 463,444.34 = 121,972.50 : x
  2. Step 2: Convert to fraction form
    308,961/463,444.34 = 121,972.50/x
  3. Step 3: Cross multiply
    308,961x = 463,444.34 × 121,972.50
  4. Step 4: Simplify right side
    308,961x = 56,527,464,150.79
  5. Step 5: Solve for x
    x = 56,527,464,150.79/308,961
  6. Step 6: Final answer
    x = 182,959.87

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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.