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Finding the Fourth Proportional to 116,113.78, 174,190.83 and 42,224.50

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Solution

The fourth proportional to 116,113.78, 174,190.83 and 42,224.50 is: 63,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,113.78 : 174,190.83 = 42,224.50 : x
  2. Step 2: Convert to fraction form
    116,113.78/174,190.83 = 42,224.50/x
  3. Step 3: Cross multiply
    116,113.78x = 174,190.83 × 42,224.50
  4. Step 4: Simplify right side
    116,113.78x = 7,355,120,701.34
  5. Step 5: Solve for x
    x = 7,355,120,701.34/116,113.78
  6. Step 6: Final answer
    x = 63,344.08

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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.