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Finding the Fourth Proportional to 143,068.50, 214,550.91 and 64,142.10

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Solution

The fourth proportional to 143,068.50, 214,550.91 and 64,142.10 is: 96,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,068.50 : 214,550.91 = 64,142.10 : x
  2. Step 2: Convert to fraction form
    143,068.50/214,550.91 = 64,142.10/x
  3. Step 3: Cross multiply
    143,068.50x = 214,550.91 × 64,142.10
  4. Step 4: Simplify right side
    143,068.50x = 13,761,745,924.31
  5. Step 5: Solve for x
    x = 13,761,745,924.31/143,068.50
  6. Step 6: Final answer
    x = 96,189.91

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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.