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Finding the Fourth Proportional to 97,285.88, 134,242.56 and 54,255.28

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Solution

The fourth proportional to 97,285.88, 134,242.56 and 54,255.28 is: 74,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,285.88 : 134,242.56 = 54,255.28 : x
  2. Step 2: Convert to fraction form
    97,285.88/134,242.56 = 54,255.28/x
  3. Step 3: Cross multiply
    97,285.88x = 134,242.56 × 54,255.28
  4. Step 4: Simplify right side
    97,285.88x = 7,283,367,680.72
  5. Step 5: Solve for x
    x = 7,283,367,680.72/97,285.88
  6. Step 6: Final answer
    x = 74,865.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.