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Finding the Fourth Proportional to 195,105.34, 292,457.13 and 76,728.70

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Solution

The fourth proportional to 195,105.34, 292,457.13 and 76,728.70 is: 115,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,105.34 : 292,457.13 = 76,728.70 : x
  2. Step 2: Convert to fraction form
    195,105.34/292,457.13 = 76,728.70/x
  3. Step 3: Cross multiply
    195,105.34x = 292,457.13 × 76,728.70
  4. Step 4: Simplify right side
    195,105.34x = 22,439,855,390.63
  5. Step 5: Solve for x
    x = 22,439,855,390.63/195,105.34
  6. Step 6: Final answer
    x = 115,014.05

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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.