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Finding the Fourth Proportional to 195,753.17, 293,629.94 and 48,009.17

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Solution

The fourth proportional to 195,753.17, 293,629.94 and 48,009.17 is: 72,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,753.17 : 293,629.94 = 48,009.17 : x
  2. Step 2: Convert to fraction form
    195,753.17/293,629.94 = 48,009.17/x
  3. Step 3: Cross multiply
    195,753.17x = 293,629.94 × 48,009.17
  4. Step 4: Simplify right side
    195,753.17x = 14,096,929,466.50
  5. Step 5: Solve for x
    x = 14,096,929,466.50/195,753.17
  6. Step 6: Final answer
    x = 72,013.80

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Why These Related Problems?

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