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Finding the Fourth Proportional to 133,541.96, 200,174.51 and 83,507.22

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Solution

The fourth proportional to 133,541.96, 200,174.51 and 83,507.22 is: 125,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,541.96 : 200,174.51 = 83,507.22 : x
  2. Step 2: Convert to fraction form
    133,541.96/200,174.51 = 83,507.22/x
  3. Step 3: Cross multiply
    133,541.96x = 200,174.51 × 83,507.22
  4. Step 4: Simplify right side
    133,541.96x = 16,716,017,053.73
  5. Step 5: Solve for x
    x = 16,716,017,053.73/133,541.96
  6. Step 6: Final answer
    x = 125,174.27

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1.5x scale

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.