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Finding the Fourth Proportional to 147,112, 220,732.80 and 48,616

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Solution

The fourth proportional to 147,112, 220,732.80 and 48,616 is: 72,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,112 : 220,732.80 = 48,616 : x
  2. Step 2: Convert to fraction form
    147,112/220,732.80 = 48,616/x
  3. Step 3: Cross multiply
    147,112x = 220,732.80 × 48,616
  4. Step 4: Simplify right side
    147,112x = 10,731,145,804.80
  5. Step 5: Solve for x
    x = 10,731,145,804.80/147,112
  6. Step 6: Final answer
    x = 72,945.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.