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Finding the Fourth Proportional to 255,096.30, 382,632.30 and 86,600.10

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Solution

The fourth proportional to 255,096.30, 382,632.30 and 86,600.10 is: 129,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,096.30 : 382,632.30 = 86,600.10 : x
  2. Step 2: Convert to fraction form
    255,096.30/382,632.30 = 86,600.10/x
  3. Step 3: Cross multiply
    255,096.30x = 382,632.30 × 86,600.10
  4. Step 4: Simplify right side
    255,096.30x = 33,135,995,443.23
  5. Step 5: Solve for x
    x = 33,135,995,443.23/255,096.30
  6. Step 6: Final answer
    x = 129,896.03

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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.