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Finding the Fourth Proportional to 92,132, 138,192.51 and 54,202.58

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Solution

The fourth proportional to 92,132, 138,192.51 and 54,202.58 is: 81,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,132 : 138,192.51 = 54,202.58 : x
  2. Step 2: Convert to fraction form
    92,132/138,192.51 = 54,202.58/x
  3. Step 3: Cross multiply
    92,132x = 138,192.51 × 54,202.58
  4. Step 4: Simplify right side
    92,132x = 7,490,390,578.68
  5. Step 5: Solve for x
    x = 7,490,390,578.68/92,132
  6. Step 6: Final answer
    x = 81,300.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.