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Finding the Fourth Proportional to 147,236, 203,172.88 and 83,576.48

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Solution

The fourth proportional to 147,236, 203,172.88 and 83,576.48 is: 115,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,236 : 203,172.88 = 83,576.48 : x
  2. Step 2: Convert to fraction form
    147,236/203,172.88 = 83,576.48/x
  3. Step 3: Cross multiply
    147,236x = 203,172.88 × 83,576.48
  4. Step 4: Simplify right side
    147,236x = 16,980,474,141.86
  5. Step 5: Solve for x
    x = 16,980,474,141.86/147,236
  6. Step 6: Final answer
    x = 115,328.28

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1.5x scale

Why These Related Problems?

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