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Finding the Fourth Proportional to 104,955.12, 157,257.72 and 75,328.56

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Solution

The fourth proportional to 104,955.12, 157,257.72 and 75,328.56 is: 112,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.12 : 157,257.72 = 75,328.56 : x
  2. Step 2: Convert to fraction form
    104,955.12/157,257.72 = 75,328.56/x
  3. Step 3: Cross multiply
    104,955.12x = 157,257.72 × 75,328.56
  4. Step 4: Simplify right side
    104,955.12x = 11,845,997,596.48
  5. Step 5: Solve for x
    x = 11,845,997,596.48/104,955.12
  6. Step 6: Final answer
    x = 112,867.27

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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.