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Finding the Fourth Proportional to 143,079.84, 214,830.42 and 80,023.50

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Solution

The fourth proportional to 143,079.84, 214,830.42 and 80,023.50 is: 120,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,079.84 : 214,830.42 = 80,023.50 : x
  2. Step 2: Convert to fraction form
    143,079.84/214,830.42 = 80,023.50/x
  3. Step 3: Cross multiply
    143,079.84x = 214,830.42 × 80,023.50
  4. Step 4: Simplify right side
    143,079.84x = 17,191,482,114.87
  5. Step 5: Solve for x
    x = 17,191,482,114.87/143,079.84
  6. Step 6: Final answer
    x = 120,153.07

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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.