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Finding the Fourth Proportional to 97,257.60, 134,211.60 and 54,824.94

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Solution

The fourth proportional to 97,257.60, 134,211.60 and 54,824.94 is: 75,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,257.60 : 134,211.60 = 54,824.94 : x
  2. Step 2: Convert to fraction form
    97,257.60/134,211.60 = 54,824.94/x
  3. Step 3: Cross multiply
    97,257.60x = 134,211.60 × 54,824.94
  4. Step 4: Simplify right side
    97,257.60x = 7,358,142,917.30
  5. Step 5: Solve for x
    x = 7,358,142,917.30/97,257.60
  6. Step 6: Final answer
    x = 75,656.23

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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.