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Finding the Fourth Proportional to 255,207, 382,781.34 and 68,233.08

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Solution

The fourth proportional to 255,207, 382,781.34 and 68,233.08 is: 102,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,207 : 382,781.34 = 68,233.08 : x
  2. Step 2: Convert to fraction form
    255,207/382,781.34 = 68,233.08/x
  3. Step 3: Cross multiply
    255,207x = 382,781.34 × 68,233.08
  4. Step 4: Simplify right side
    255,207x = 26,118,349,794.73
  5. Step 5: Solve for x
    x = 26,118,349,794.73/255,207
  6. Step 6: Final answer
    x = 102,341.82

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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.