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Finding the Fourth Proportional to 231,626.56, 346,784.44 and 147,177.38

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Solution

The fourth proportional to 231,626.56, 346,784.44 and 147,177.38 is: 220,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,626.56 : 346,784.44 = 147,177.38 : x
  2. Step 2: Convert to fraction form
    231,626.56/346,784.44 = 147,177.38/x
  3. Step 3: Cross multiply
    231,626.56x = 346,784.44 × 147,177.38
  4. Step 4: Simplify right side
    231,626.56x = 51,038,825,303.97
  5. Step 5: Solve for x
    x = 51,038,825,303.97/231,626.56
  6. Step 6: Final answer
    x = 220,349.62

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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.