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Finding the Fourth Proportional to 116,105.46, 174,235.86 and 42,233.46

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Solution

The fourth proportional to 116,105.46, 174,235.86 and 42,233.46 is: 63,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,105.46 : 174,235.86 = 42,233.46 : x
  2. Step 2: Convert to fraction form
    116,105.46/174,235.86 = 42,233.46/x
  3. Step 3: Cross multiply
    116,105.46x = 174,235.86 × 42,233.46
  4. Step 4: Simplify right side
    116,105.46x = 7,358,583,223.88
  5. Step 5: Solve for x
    x = 7,358,583,223.88/116,105.46
  6. Step 6: Final answer
    x = 63,378.44

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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.