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Finding the Fourth Proportional to 255,243.29, 382,850.96 and 77,735.43

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Solution

The fourth proportional to 255,243.29, 382,850.96 and 77,735.43 is: 116,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,243.29 : 382,850.96 = 77,735.43 : x
  2. Step 2: Convert to fraction form
    255,243.29/382,850.96 = 77,735.43/x
  3. Step 3: Cross multiply
    255,243.29x = 382,850.96 × 77,735.43
  4. Step 4: Simplify right side
    255,243.29x = 29,761,083,612.84
  5. Step 5: Solve for x
    x = 29,761,083,612.84/255,243.29
  6. Step 6: Final answer
    x = 116,598.89

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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.