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Finding the Fourth Proportional to 113,728.96, 170,592 and 51,355.84

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Solution

The fourth proportional to 113,728.96, 170,592 and 51,355.84 is: 77,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,728.96 : 170,592 = 51,355.84 : x
  2. Step 2: Convert to fraction form
    113,728.96/170,592 = 51,355.84/x
  3. Step 3: Cross multiply
    113,728.96x = 170,592 × 51,355.84
  4. Step 4: Simplify right side
    113,728.96x = 8,760,895,457.28
  5. Step 5: Solve for x
    x = 8,760,895,457.28/113,728.96
  6. Step 6: Final answer
    x = 77,033.11

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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.