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Finding the Fourth Proportional to 100,878.72, 139,194.24 and 58,421.76

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Solution

The fourth proportional to 100,878.72, 139,194.24 and 58,421.76 is: 80,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.72 : 139,194.24 = 58,421.76 : x
  2. Step 2: Convert to fraction form
    100,878.72/139,194.24 = 58,421.76/x
  3. Step 3: Cross multiply
    100,878.72x = 139,194.24 × 58,421.76
  4. Step 4: Simplify right side
    100,878.72x = 8,131,972,482.66
  5. Step 5: Solve for x
    x = 8,131,972,482.66/100,878.72
  6. Step 6: Final answer
    x = 80,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.