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Finding the Fourth Proportional to 141,379.68, 212,098.68 and 47,883

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Solution

The fourth proportional to 141,379.68, 212,098.68 and 47,883 is: 71,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,379.68 : 212,098.68 = 47,883 : x
  2. Step 2: Convert to fraction form
    141,379.68/212,098.68 = 47,883/x
  3. Step 3: Cross multiply
    141,379.68x = 212,098.68 × 47,883
  4. Step 4: Simplify right side
    141,379.68x = 10,155,921,094.44
  5. Step 5: Solve for x
    x = 10,155,921,094.44/141,379.68
  6. Step 6: Final answer
    x = 71,834.38

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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.