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Finding the Fourth Proportional to 171,285.80, 256,928.70 and 164,287.40

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Solution

The fourth proportional to 171,285.80, 256,928.70 and 164,287.40 is: 246,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,285.80 : 256,928.70 = 164,287.40 : x
  2. Step 2: Convert to fraction form
    171,285.80/256,928.70 = 164,287.40/x
  3. Step 3: Cross multiply
    171,285.80x = 256,928.70 × 164,287.40
  4. Step 4: Simplify right side
    171,285.80x = 42,210,148,108.38
  5. Step 5: Solve for x
    x = 42,210,148,108.38/171,285.80
  6. Step 6: Final answer
    x = 246,431.10

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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.