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Finding the Fourth Proportional to 171,970.64, 237,330.12 and 114,511.44

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Solution

The fourth proportional to 171,970.64, 237,330.12 and 114,511.44 is: 158,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,970.64 : 237,330.12 = 114,511.44 : x
  2. Step 2: Convert to fraction form
    171,970.64/237,330.12 = 114,511.44/x
  3. Step 3: Cross multiply
    171,970.64x = 237,330.12 × 114,511.44
  4. Step 4: Simplify right side
    171,970.64x = 27,177,013,796.57
  5. Step 5: Solve for x
    x = 27,177,013,796.57/171,970.64
  6. Step 6: Final answer
    x = 158,032.87

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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.