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Finding the Fourth Proportional to 142,777.76, 214,177.16 and 37,596

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Solution

The fourth proportional to 142,777.76, 214,177.16 and 37,596 is: 56,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,777.76 : 214,177.16 = 37,596 : x
  2. Step 2: Convert to fraction form
    142,777.76/214,177.16 = 37,596/x
  3. Step 3: Cross multiply
    142,777.76x = 214,177.16 × 37,596
  4. Step 4: Simplify right side
    142,777.76x = 8,052,204,507.36
  5. Step 5: Solve for x
    x = 8,052,204,507.36/142,777.76
  6. Step 6: Final answer
    x = 56,396.77

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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.