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Finding the Fourth Proportional to 101,945.98, 140,684.31 and 56,624.38

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Solution

The fourth proportional to 101,945.98, 140,684.31 and 56,624.38 is: 78,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,945.98 : 140,684.31 = 56,624.38 : x
  2. Step 2: Convert to fraction form
    101,945.98/140,684.31 = 56,624.38/x
  3. Step 3: Cross multiply
    101,945.98x = 140,684.31 × 56,624.38
  4. Step 4: Simplify right side
    101,945.98x = 7,966,161,829.48
  5. Step 5: Solve for x
    x = 7,966,161,829.48/101,945.98
  6. Step 6: Final answer
    x = 78,141.01

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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.