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Finding the Fourth Proportional to 141,499.24, 212,294.94 and 67,633

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Solution

The fourth proportional to 141,499.24, 212,294.94 and 67,633 is: 101,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,499.24 : 212,294.94 = 67,633 : x
  2. Step 2: Convert to fraction form
    141,499.24/212,294.94 = 67,633/x
  3. Step 3: Cross multiply
    141,499.24x = 212,294.94 × 67,633
  4. Step 4: Simplify right side
    141,499.24x = 14,358,143,677.02
  5. Step 5: Solve for x
    x = 14,358,143,677.02/141,499.24
  6. Step 6: Final answer
    x = 101,471.53

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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.