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Finding the Fourth Proportional to 243,619.20, 365,817.60 and 177,523.20

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Solution

The fourth proportional to 243,619.20, 365,817.60 and 177,523.20 is: 266,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,619.20 : 365,817.60 = 177,523.20 : x
  2. Step 2: Convert to fraction form
    243,619.20/365,817.60 = 177,523.20/x
  3. Step 3: Cross multiply
    243,619.20x = 365,817.60 × 177,523.20
  4. Step 4: Simplify right side
    243,619.20x = 64,941,110,968.32
  5. Step 5: Solve for x
    x = 64,941,110,968.32/243,619.20
  6. Step 6: Final answer
    x = 266,568.12

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Why These Related Problems?

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