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Finding the Fourth Proportional to 156,838.16, 235,125 and 68,024.80

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Solution

The fourth proportional to 156,838.16, 235,125 and 68,024.80 is: 101,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,838.16 : 235,125 = 68,024.80 : x
  2. Step 2: Convert to fraction form
    156,838.16/235,125 = 68,024.80/x
  3. Step 3: Cross multiply
    156,838.16x = 235,125 × 68,024.80
  4. Step 4: Simplify right side
    156,838.16x = 15,994,331,100
  5. Step 5: Solve for x
    x = 15,994,331,100/156,838.16
  6. Step 6: Final answer
    x = 101,979.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.