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Finding the Fourth Proportional to 102,595.34, 141,640.43 and 78,204.83

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Solution

The fourth proportional to 102,595.34, 141,640.43 and 78,204.83 is: 107,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.34 : 141,640.43 = 78,204.83 : x
  2. Step 2: Convert to fraction form
    102,595.34/141,640.43 = 78,204.83/x
  3. Step 3: Cross multiply
    102,595.34x = 141,640.43 × 78,204.83
  4. Step 4: Simplify right side
    102,595.34x = 11,076,964,650.05
  5. Step 5: Solve for x
    x = 11,076,964,650.05/102,595.34
  6. Step 6: Final answer
    x = 107,967.53

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