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Finding the Fourth Proportional to 175,697.96, 263,572.62 and 51,022.76

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Solution

The fourth proportional to 175,697.96, 263,572.62 and 51,022.76 is: 76,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,697.96 : 263,572.62 = 51,022.76 : x
  2. Step 2: Convert to fraction form
    175,697.96/263,572.62 = 51,022.76/x
  3. Step 3: Cross multiply
    175,697.96x = 263,572.62 × 51,022.76
  4. Step 4: Simplify right side
    175,697.96x = 13,448,202,532.83
  5. Step 5: Solve for x
    x = 13,448,202,532.83/175,697.96
  6. Step 6: Final answer
    x = 76,541.60

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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.