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Finding the Fourth Proportional to 255,174.04, 382,816.42 and 77,676.44

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Solution

The fourth proportional to 255,174.04, 382,816.42 and 77,676.44 is: 116,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,174.04 : 382,816.42 = 77,676.44 : x
  2. Step 2: Convert to fraction form
    255,174.04/382,816.42 = 77,676.44/x
  3. Step 3: Cross multiply
    255,174.04x = 382,816.42 × 77,676.44
  4. Step 4: Simplify right side
    255,174.04x = 29,735,816,679.14
  5. Step 5: Solve for x
    x = 29,735,816,679.14/255,174.04
  6. Step 6: Final answer
    x = 116,531.51

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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.