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Finding the Fourth Proportional to 142,697.98, 214,029.93 and 37,525.14

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Solution

The fourth proportional to 142,697.98, 214,029.93 and 37,525.14 is: 56,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.98 : 214,029.93 = 37,525.14 : x
  2. Step 2: Convert to fraction form
    142,697.98/214,029.93 = 37,525.14/x
  3. Step 3: Cross multiply
    142,697.98x = 214,029.93 × 37,525.14
  4. Step 4: Simplify right side
    142,697.98x = 8,031,503,087.44
  5. Step 5: Solve for x
    x = 8,031,503,087.44/142,697.98
  6. Step 6: Final answer
    x = 56,283.23

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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.