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Finding the Fourth Proportional to 257,846.32, 355,873.38 and 162,382.96

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Solution

The fourth proportional to 257,846.32, 355,873.38 and 162,382.96 is: 224,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,846.32 : 355,873.38 = 162,382.96 : x
  2. Step 2: Convert to fraction form
    257,846.32/355,873.38 = 162,382.96/x
  3. Step 3: Cross multiply
    257,846.32x = 355,873.38 × 162,382.96
  4. Step 4: Simplify right side
    257,846.32x = 57,787,772,829.60
  5. Step 5: Solve for x
    x = 57,787,772,829.60/257,846.32
  6. Step 6: Final answer
    x = 224,117.11

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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.