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Finding the Fourth Proportional to 230,292, 344,880.72 and 111,669.60

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Solution

The fourth proportional to 230,292, 344,880.72 and 111,669.60 is: 167,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,292 : 344,880.72 = 111,669.60 : x
  2. Step 2: Convert to fraction form
    230,292/344,880.72 = 111,669.60/x
  3. Step 3: Cross multiply
    230,292x = 344,880.72 × 111,669.60
  4. Step 4: Simplify right side
    230,292x = 38,512,692,050.11
  5. Step 5: Solve for x
    x = 38,512,692,050.11/230,292
  6. Step 6: Final answer
    x = 167,234.17

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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.