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Finding the Fourth Proportional to 349,212.30, 523,867.05 and 138,801.30

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Solution

The fourth proportional to 349,212.30, 523,867.05 and 138,801.30 is: 208,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,212.30 : 523,867.05 = 138,801.30 : x
  2. Step 2: Convert to fraction form
    349,212.30/523,867.05 = 138,801.30/x
  3. Step 3: Cross multiply
    349,212.30x = 523,867.05 × 138,801.30
  4. Step 4: Simplify right side
    349,212.30x = 72,713,427,567.17
  5. Step 5: Solve for x
    x = 72,713,427,567.17/349,212.30
  6. Step 6: Final answer
    x = 208,221.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.