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Finding the Fourth Proportional to 97,920, 135,130.41 and 53,208

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Solution

The fourth proportional to 97,920, 135,130.41 and 53,208 is: 73,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920 : 135,130.41 = 53,208 : x
  2. Step 2: Convert to fraction form
    97,920/135,130.41 = 53,208/x
  3. Step 3: Cross multiply
    97,920x = 135,130.41 × 53,208
  4. Step 4: Simplify right side
    97,920x = 7,190,018,855.28
  5. Step 5: Solve for x
    x = 7,190,018,855.28/97,920
  6. Step 6: Final answer
    x = 73,427.48

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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.