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Finding the Fourth Proportional to 156,978.94, 235,463.14 and 68,232.44

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Solution

The fourth proportional to 156,978.94, 235,463.14 and 68,232.44 is: 102,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.94 : 235,463.14 = 68,232.44 : x
  2. Step 2: Convert to fraction form
    156,978.94/235,463.14 = 68,232.44/x
  3. Step 3: Cross multiply
    156,978.94x = 235,463.14 × 68,232.44
  4. Step 4: Simplify right side
    156,978.94x = 16,066,224,572.26
  5. Step 5: Solve for x
    x = 16,066,224,572.26/156,978.94
  6. Step 6: Final answer
    x = 102,346.37

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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.