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Finding the Fourth Proportional to 255,048.75, 382,588.92 and 77,568.84

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Solution

The fourth proportional to 255,048.75, 382,588.92 and 77,568.84 is: 116,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,048.75 : 382,588.92 = 77,568.84 : x
  2. Step 2: Convert to fraction form
    255,048.75/382,588.92 = 77,568.84/x
  3. Step 3: Cross multiply
    255,048.75x = 382,588.92 × 77,568.84
  4. Step 4: Simplify right side
    255,048.75x = 29,676,978,721.25
  5. Step 5: Solve for x
    x = 29,676,978,721.25/255,048.75
  6. Step 6: Final answer
    x = 116,358.06

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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.