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Finding the Fourth Proportional to 156,047.40, 215,345.46 and 84,427.38

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Solution

The fourth proportional to 156,047.40, 215,345.46 and 84,427.38 is: 116,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,047.40 : 215,345.46 = 84,427.38 : x
  2. Step 2: Convert to fraction form
    156,047.40/215,345.46 = 84,427.38/x
  3. Step 3: Cross multiply
    156,047.40x = 215,345.46 × 84,427.38
  4. Step 4: Simplify right side
    156,047.40x = 18,181,052,982.69
  5. Step 5: Solve for x
    x = 18,181,052,982.69/156,047.40
  6. Step 6: Final answer
    x = 116,509.81

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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.