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Finding the Fourth Proportional to 142,777.01, 214,014.80 and 47,917.24

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Solution

The fourth proportional to 142,777.01, 214,014.80 and 47,917.24 is: 71,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,777.01 : 214,014.80 = 47,917.24 : x
  2. Step 2: Convert to fraction form
    142,777.01/214,014.80 = 47,917.24/x
  3. Step 3: Cross multiply
    142,777.01x = 214,014.80 × 47,917.24
  4. Step 4: Simplify right side
    142,777.01x = 10,254,998,119.91
  5. Step 5: Solve for x
    x = 10,254,998,119.91/142,777.01
  6. Step 6: Final answer
    x = 71,825.27

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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.