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Finding the Fourth Proportional to 105,217.50, 145,204.47 and 60,505.50

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Solution

The fourth proportional to 105,217.50, 145,204.47 and 60,505.50 is: 83,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217.50 : 145,204.47 = 60,505.50 : x
  2. Step 2: Convert to fraction form
    105,217.50/145,204.47 = 60,505.50/x
  3. Step 3: Cross multiply
    105,217.50x = 145,204.47 × 60,505.50
  4. Step 4: Simplify right side
    105,217.50x = 8,785,669,059.59
  5. Step 5: Solve for x
    x = 8,785,669,059.59/105,217.50
  6. Step 6: Final answer
    x = 83,500.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.