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Finding the Fourth Proportional to 283,426.40, 425,161.56 and 114,866.48

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Solution

The fourth proportional to 283,426.40, 425,161.56 and 114,866.48 is: 172,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,426.40 : 425,161.56 = 114,866.48 : x
  2. Step 2: Convert to fraction form
    283,426.40/425,161.56 = 114,866.48/x
  3. Step 3: Cross multiply
    283,426.40x = 425,161.56 × 114,866.48
  4. Step 4: Simplify right side
    283,426.40x = 48,836,811,828.51
  5. Step 5: Solve for x
    x = 48,836,811,828.51/283,426.40
  6. Step 6: Final answer
    x = 172,308.62

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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.