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Finding the Fourth Proportional to 97,912, 135,118.92 and 53,200

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Solution

The fourth proportional to 97,912, 135,118.92 and 53,200 is: 73,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912 : 135,118.92 = 53,200 : x
  2. Step 2: Convert to fraction form
    97,912/135,118.92 = 53,200/x
  3. Step 3: Cross multiply
    97,912x = 135,118.92 × 53,200
  4. Step 4: Simplify right side
    97,912x = 7,188,326,544.00
  5. Step 5: Solve for x
    x = 7,188,326,544.00/97,912
  6. Step 6: Final answer
    x = 73,416.20

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