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Finding the Fourth Proportional to 143,230.18, 214,788.84 and 52,024

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Solution

The fourth proportional to 143,230.18, 214,788.84 and 52,024 is: 78,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,230.18 : 214,788.84 = 52,024 : x
  2. Step 2: Convert to fraction form
    143,230.18/214,788.84 = 52,024/x
  3. Step 3: Cross multiply
    143,230.18x = 214,788.84 × 52,024
  4. Step 4: Simplify right side
    143,230.18x = 11,174,174,612.16
  5. Step 5: Solve for x
    x = 11,174,174,612.16/143,230.18
  6. Step 6: Final answer
    x = 78,015.50

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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.