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Finding the Fourth Proportional to 255,523.72, 383,287.06 and 65,971.14

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Solution

The fourth proportional to 255,523.72, 383,287.06 and 65,971.14 is: 98,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,523.72 : 383,287.06 = 65,971.14 : x
  2. Step 2: Convert to fraction form
    255,523.72/383,287.06 = 65,971.14/x
  3. Step 3: Cross multiply
    255,523.72x = 383,287.06 × 65,971.14
  4. Step 4: Simplify right side
    255,523.72x = 25,285,884,295.45
  5. Step 5: Solve for x
    x = 25,285,884,295.45/255,523.72
  6. Step 6: Final answer
    x = 98,957.09

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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.