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Finding the Fourth Proportional to 97,924, 135,146.64 and 58,180

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Solution

The fourth proportional to 97,924, 135,146.64 and 58,180 is: 80,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924 : 135,146.64 = 58,180 : x
  2. Step 2: Convert to fraction form
    97,924/135,146.64 = 58,180/x
  3. Step 3: Cross multiply
    97,924x = 135,146.64 × 58,180
  4. Step 4: Simplify right side
    97,924x = 7,862,831,515.20
  5. Step 5: Solve for x
    x = 7,862,831,515.20/97,924
  6. Step 6: Final answer
    x = 80,295.24

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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.