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Finding the Fourth Proportional to 97,458.35, 134,494.73 and 57,201.14

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Solution

The fourth proportional to 97,458.35, 134,494.73 and 57,201.14 is: 78,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.35 : 134,494.73 = 57,201.14 : x
  2. Step 2: Convert to fraction form
    97,458.35/134,494.73 = 57,201.14/x
  3. Step 3: Cross multiply
    97,458.35x = 134,494.73 × 57,201.14
  4. Step 4: Simplify right side
    97,458.35x = 7,693,250,921.51
  5. Step 5: Solve for x
    x = 7,693,250,921.51/97,458.35
  6. Step 6: Final answer
    x = 78,938.86

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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.