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Finding the Fourth Proportional to 131,737.80, 197,145.90 and 120,678.60

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Solution

The fourth proportional to 131,737.80, 197,145.90 and 120,678.60 is: 180,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,737.80 : 197,145.90 = 120,678.60 : x
  2. Step 2: Convert to fraction form
    131,737.80/197,145.90 = 120,678.60/x
  3. Step 3: Cross multiply
    131,737.80x = 197,145.90 × 120,678.60
  4. Step 4: Simplify right side
    131,737.80x = 23,791,291,207.74
  5. Step 5: Solve for x
    x = 23,791,291,207.74/131,737.80
  6. Step 6: Final answer
    x = 180,595.78

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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.