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Finding the Fourth Proportional to 100,036.34, 138,122.43 and 61,848.24

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Solution

The fourth proportional to 100,036.34, 138,122.43 and 61,848.24 is: 85,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036.34 : 138,122.43 = 61,848.24 : x
  2. Step 2: Convert to fraction form
    100,036.34/138,122.43 = 61,848.24/x
  3. Step 3: Cross multiply
    100,036.34x = 138,122.43 × 61,848.24
  4. Step 4: Simplify right side
    100,036.34x = 8,542,629,200.02
  5. Step 5: Solve for x
    x = 8,542,629,200.02/100,036.34
  6. Step 6: Final answer
    x = 85,395.26

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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.