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Finding the Fourth Proportional to 141,810.70, 212,716.05 and 78,825.10

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Solution

The fourth proportional to 141,810.70, 212,716.05 and 78,825.10 is: 118,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,810.70 : 212,716.05 = 78,825.10 : x
  2. Step 2: Convert to fraction form
    141,810.70/212,716.05 = 78,825.10/x
  3. Step 3: Cross multiply
    141,810.70x = 212,716.05 × 78,825.10
  4. Step 4: Simplify right side
    141,810.70x = 16,767,363,912.86
  5. Step 5: Solve for x
    x = 16,767,363,912.86/141,810.70
  6. Step 6: Final answer
    x = 118,237.65

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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.