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Finding the Fourth Proportional to 283,312.84, 425,015.41 and 83,653.40

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Solution

The fourth proportional to 283,312.84, 425,015.41 and 83,653.40 is: 125,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,312.84 : 425,015.41 = 83,653.40 : x
  2. Step 2: Convert to fraction form
    283,312.84/425,015.41 = 83,653.40/x
  3. Step 3: Cross multiply
    283,312.84x = 425,015.41 × 83,653.40
  4. Step 4: Simplify right side
    283,312.84x = 35,553,984,098.89
  5. Step 5: Solve for x
    x = 35,553,984,098.89/283,312.84
  6. Step 6: Final answer
    x = 125,493.73

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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.