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Finding the Fourth Proportional to 254,201.76, 350,815.05 and 146,776.32

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Solution

The fourth proportional to 254,201.76, 350,815.05 and 146,776.32 is: 202,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,201.76 : 350,815.05 = 146,776.32 : x
  2. Step 2: Convert to fraction form
    254,201.76/350,815.05 = 146,776.32/x
  3. Step 3: Cross multiply
    254,201.76x = 350,815.05 × 146,776.32
  4. Step 4: Simplify right side
    254,201.76x = 51,491,342,039.62
  5. Step 5: Solve for x
    x = 51,491,342,039.62/254,201.76
  6. Step 6: Final answer
    x = 202,560.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.