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Finding the Fourth Proportional to 142,705.69, 214,060.62 and 67,833.52

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Solution

The fourth proportional to 142,705.69, 214,060.62 and 67,833.52 is: 101,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,705.69 : 214,060.62 = 67,833.52 : x
  2. Step 2: Convert to fraction form
    142,705.69/214,060.62 = 67,833.52/x
  3. Step 3: Cross multiply
    142,705.69x = 214,060.62 × 67,833.52
  4. Step 4: Simplify right side
    142,705.69x = 14,520,485,347.98
  5. Step 5: Solve for x
    x = 14,520,485,347.98/142,705.69
  6. Step 6: Final answer
    x = 101,751.27

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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.