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Finding the Fourth Proportional to 257,697.50, 386,808.33 and 177,741.02

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Solution

The fourth proportional to 257,697.50, 386,808.33 and 177,741.02 is: 266,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697.50 : 386,808.33 = 177,741.02 : x
  2. Step 2: Convert to fraction form
    257,697.50/386,808.33 = 177,741.02/x
  3. Step 3: Cross multiply
    257,697.50x = 386,808.33 × 177,741.02
  4. Step 4: Simplify right side
    257,697.50x = 68,751,707,118.70
  5. Step 5: Solve for x
    x = 68,751,707,118.70/257,697.50
  6. Step 6: Final answer
    x = 266,792.29

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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.