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Finding the Fourth Proportional to 564,103.98, 846,145.05 and 137,642.58

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Solution

The fourth proportional to 564,103.98, 846,145.05 and 137,642.58 is: 206,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,103.98 : 846,145.05 = 137,642.58 : x
  2. Step 2: Convert to fraction form
    564,103.98/846,145.05 = 137,642.58/x
  3. Step 3: Cross multiply
    564,103.98x = 846,145.05 × 137,642.58
  4. Step 4: Simplify right side
    564,103.98x = 116,465,587,736.23
  5. Step 5: Solve for x
    x = 116,465,587,736.23/564,103.98
  6. Step 6: Final answer
    x = 206,461.21

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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.