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Finding the Fourth Proportional to 105,215, 145,201.02 and 60,503

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Solution

The fourth proportional to 105,215, 145,201.02 and 60,503 is: 83,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215 : 145,201.02 = 60,503 : x
  2. Step 2: Convert to fraction form
    105,215/145,201.02 = 60,503/x
  3. Step 3: Cross multiply
    105,215x = 145,201.02 × 60,503
  4. Step 4: Simplify right side
    105,215x = 8,785,097,313.06
  5. Step 5: Solve for x
    x = 8,785,097,313.06/105,215
  6. Step 6: Final answer
    x = 83,496.62

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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.