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Finding the Fourth Proportional to 159,100.34, 238,638.02 and 92,498

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Solution

The fourth proportional to 159,100.34, 238,638.02 and 92,498 is: 138,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,100.34 : 238,638.02 = 92,498 : x
  2. Step 2: Convert to fraction form
    159,100.34/238,638.02 = 92,498/x
  3. Step 3: Cross multiply
    159,100.34x = 238,638.02 × 92,498
  4. Step 4: Simplify right side
    159,100.34x = 22,073,539,573.96
  5. Step 5: Solve for x
    x = 22,073,539,573.96/159,100.34
  6. Step 6: Final answer
    x = 138,739.74

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