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Finding the Fourth Proportional to 141,878.20, 212,817.30 and 57,638.20

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Solution

The fourth proportional to 141,878.20, 212,817.30 and 57,638.20 is: 86,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.20 : 212,817.30 = 57,638.20 : x
  2. Step 2: Convert to fraction form
    141,878.20/212,817.30 = 57,638.20/x
  3. Step 3: Cross multiply
    141,878.20x = 212,817.30 × 57,638.20
  4. Step 4: Simplify right side
    141,878.20x = 12,266,406,100.86
  5. Step 5: Solve for x
    x = 12,266,406,100.86/141,878.20
  6. Step 6: Final answer
    x = 86,457.30

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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.