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Finding the Fourth Proportional to 251,713.71, 377,480.66 and 83,202.93

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Solution

The fourth proportional to 251,713.71, 377,480.66 and 83,202.93 is: 124,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,713.71 : 377,480.66 = 83,202.93 : x
  2. Step 2: Convert to fraction form
    251,713.71/377,480.66 = 83,202.93/x
  3. Step 3: Cross multiply
    251,713.71x = 377,480.66 × 83,202.93
  4. Step 4: Simplify right side
    251,713.71x = 31,407,496,514.32
  5. Step 5: Solve for x
    x = 31,407,496,514.32/251,713.71
  6. Step 6: Final answer
    x = 124,774.68

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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.