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Finding the Fourth Proportional to 255,114.70, 382,727.40 and 77,617.09

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Solution

The fourth proportional to 255,114.70, 382,727.40 and 77,617.09 is: 116,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,114.70 : 382,727.40 = 77,617.09 : x
  2. Step 2: Convert to fraction form
    255,114.70/382,727.40 = 77,617.09/x
  3. Step 3: Cross multiply
    255,114.70x = 382,727.40 × 77,617.09
  4. Step 4: Simplify right side
    255,114.70x = 29,706,187,051.27
  5. Step 5: Solve for x
    x = 29,706,187,051.27/255,114.70
  6. Step 6: Final answer
    x = 116,442.47

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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.