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Finding the Fourth Proportional to 140,078.34, 194,125.91 and 137,420.10

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Solution

The fourth proportional to 140,078.34, 194,125.91 and 137,420.10 is: 190,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,078.34 : 194,125.91 = 137,420.10 : x
  2. Step 2: Convert to fraction form
    140,078.34/194,125.91 = 137,420.10/x
  3. Step 3: Cross multiply
    140,078.34x = 194,125.91 × 137,420.10
  4. Step 4: Simplify right side
    140,078.34x = 26,676,801,277.69
  5. Step 5: Solve for x
    x = 26,676,801,277.69/140,078.34
  6. Step 6: Final answer
    x = 190,442.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.