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Finding the Fourth Proportional to 102,109.44, 140,914.32 and 61,830.72

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Solution

The fourth proportional to 102,109.44, 140,914.32 and 61,830.72 is: 85,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,109.44 : 140,914.32 = 61,830.72 : x
  2. Step 2: Convert to fraction form
    102,109.44/140,914.32 = 61,830.72/x
  3. Step 3: Cross multiply
    102,109.44x = 140,914.32 × 61,830.72
  4. Step 4: Simplify right side
    102,109.44x = 8,712,833,863.91
  5. Step 5: Solve for x
    x = 8,712,833,863.91/102,109.44
  6. Step 6: Final answer
    x = 85,328.39

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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.