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Finding the Fourth Proportional to 120,740.30, 181,038.45 and 74,026.70

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Solution

The fourth proportional to 120,740.30, 181,038.45 and 74,026.70 is: 110,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,740.30 : 181,038.45 = 74,026.70 : x
  2. Step 2: Convert to fraction form
    120,740.30/181,038.45 = 74,026.70/x
  3. Step 3: Cross multiply
    120,740.30x = 181,038.45 × 74,026.70
  4. Step 4: Simplify right side
    120,740.30x = 13,401,679,026.62
  5. Step 5: Solve for x
    x = 13,401,679,026.62/120,740.30
  6. Step 6: Final answer
    x = 110,995.91

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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.