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Finding the Fourth Proportional to 255,168.23, 382,793.55 and 77,633.44

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Solution

The fourth proportional to 255,168.23, 382,793.55 and 77,633.44 is: 116,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,168.23 : 382,793.55 = 77,633.44 : x
  2. Step 2: Convert to fraction form
    255,168.23/382,793.55 = 77,633.44/x
  3. Step 3: Cross multiply
    255,168.23x = 382,793.55 × 77,633.44
  4. Step 4: Simplify right side
    255,168.23x = 29,717,578,848.20
  5. Step 5: Solve for x
    x = 29,717,578,848.20/255,168.23
  6. Step 6: Final answer
    x = 116,462.69

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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.