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Finding the Fourth Proportional to 170,838.13, 256,312.01 and 82,098.07

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Solution

The fourth proportional to 170,838.13, 256,312.01 and 82,098.07 is: 123,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.13 : 256,312.01 = 82,098.07 : x
  2. Step 2: Convert to fraction form
    170,838.13/256,312.01 = 82,098.07/x
  3. Step 3: Cross multiply
    170,838.13x = 256,312.01 × 82,098.07
  4. Step 4: Simplify right side
    170,838.13x = 21,042,720,928.33
  5. Step 5: Solve for x
    x = 21,042,720,928.33/170,838.13
  6. Step 6: Final answer
    x = 123,173.44

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1.5x scale

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.