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Finding the Fourth Proportional to 155,902.20, 233,507.70 and 120,727.80

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Solution

The fourth proportional to 155,902.20, 233,507.70 and 120,727.80 is: 180,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,902.20 : 233,507.70 = 120,727.80 : x
  2. Step 2: Convert to fraction form
    155,902.20/233,507.70 = 120,727.80/x
  3. Step 3: Cross multiply
    155,902.20x = 233,507.70 × 120,727.80
  4. Step 4: Simplify right side
    155,902.20x = 28,190,870,904.06
  5. Step 5: Solve for x
    x = 28,190,870,904.06/155,902.20
  6. Step 6: Final answer
    x = 180,824.07

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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.