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Finding the Fourth Proportional to 104,709.80, 144,502.29 and 56,966.10

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Solution

The fourth proportional to 104,709.80, 144,502.29 and 56,966.10 is: 78,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,709.80 : 144,502.29 = 56,966.10 : x
  2. Step 2: Convert to fraction form
    104,709.80/144,502.29 = 56,966.10/x
  3. Step 3: Cross multiply
    104,709.80x = 144,502.29 × 56,966.10
  4. Step 4: Simplify right side
    104,709.80x = 8,231,731,902.37
  5. Step 5: Solve for x
    x = 8,231,731,902.37/104,709.80
  6. Step 6: Final answer
    x = 78,614.73

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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.