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Finding the Fourth Proportional to 147,172.77, 203,092.79 and 83,506.77

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Solution

The fourth proportional to 147,172.77, 203,092.79 and 83,506.77 is: 115,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172.77 : 203,092.79 = 83,506.77 : x
  2. Step 2: Convert to fraction form
    147,172.77/203,092.79 = 83,506.77/x
  3. Step 3: Cross multiply
    147,172.77x = 203,092.79 × 83,506.77
  4. Step 4: Simplify right side
    147,172.77x = 16,959,622,485.65
  5. Step 5: Solve for x
    x = 16,959,622,485.65/147,172.77
  6. Step 6: Final answer
    x = 115,236.14

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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.