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Finding the Fourth Proportional to 97,886.25, 135,083.16 and 53,174.25

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Solution

The fourth proportional to 97,886.25, 135,083.16 and 53,174.25 is: 73,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.25 : 135,083.16 = 53,174.25 : x
  2. Step 2: Convert to fraction form
    97,886.25/135,083.16 = 53,174.25/x
  3. Step 3: Cross multiply
    97,886.25x = 135,083.16 × 53,174.25
  4. Step 4: Simplify right side
    97,886.25x = 7,182,945,720.63
  5. Step 5: Solve for x
    x = 7,182,945,720.63/97,886.25
  6. Step 6: Final answer
    x = 73,380.54

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1.5x scale

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.