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Finding the Fourth Proportional to 141,909.82, 212,850.90 and 57,675.03

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Solution

The fourth proportional to 141,909.82, 212,850.90 and 57,675.03 is: 86,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,909.82 : 212,850.90 = 57,675.03 : x
  2. Step 2: Convert to fraction form
    141,909.82/212,850.90 = 57,675.03/x
  3. Step 3: Cross multiply
    141,909.82x = 212,850.90 × 57,675.03
  4. Step 4: Simplify right side
    141,909.82x = 12,276,182,043.03
  5. Step 5: Solve for x
    x = 12,276,182,043.03/141,909.82
  6. Step 6: Final answer
    x = 86,506.92

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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.